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Simplifying 45 + -1[4 + -2T + -1shirt(y + 7)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -2(2y + -5)] Reorder the terms: 45 + -1[4 + -2T + -1hirst(7 + y)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -2(2y + -5)] 45 + -1[4 + -2T + (7 * -1hirst + y * -1hirst)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -2(2y + -5)] 45 + -1[4 + -2T + (-7hirst + -1hirsty)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -2(2y + -5)] 45 + [4 * -1 + -2T * -1 + -7hirst * -1 + -1hirsty * -1] = -4(1 + 3y) + -1[4 + -3(y + 2) + -2(2y + -5)] 45 + [-4 + 2T + 7hirst + 1hirsty] = -4(1 + 3y) + -1[4 + -3(y + 2) + -2(2y + -5)] Combine like terms: 45 + -4 = 41 41 + 2T + 7hirst + 1hirsty = -4(1 + 3y) + -1[4 + -3(y + 2) + -2(2y + -5)] 41 + 2T + 7hirst + 1hirsty = (1 * -4 + 3y * -4) + -1[4 + -3(y + 2) + -2(2y + -5)] 41 + 2T + 7hirst + 1hirsty = (-4 + -12y) + -1[4 + -3(y + 2) + -2(2y + -5)] Reorder the terms: 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[4 + -3(2 + y) + -2(2y + -5)] 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[4 + (2 * -3 + y * -3) + -2(2y + -5)] 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[4 + (-6 + -3y) + -2(2y + -5)] Reorder the terms: 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[4 + -6 + -3y + -2(-5 + 2y)] 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[4 + -6 + -3y + (-5 * -2 + 2y * -2)] 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[4 + -6 + -3y + (10 + -4y)] Reorder the terms: 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[4 + -6 + 10 + -3y + -4y] Combine like terms: 4 + -6 = -2 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[-2 + 10 + -3y + -4y] Combine like terms: -2 + 10 = 8 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[8 + -3y + -4y] Combine like terms: -3y + -4y = -7y 41 + 2T + 7hirst + 1hirsty = -4 + -12y + -1[8 + -7y] 41 + 2T + 7hirst + 1hirsty = -4 + -12y + [8 * -1 + -7y * -1] 41 + 2T + 7hirst + 1hirsty = -4 + -12y + [-8 + 7y] Reorder the terms: 41 + 2T + 7hirst + 1hirsty = -4 + -8 + -12y + 7y Combine like terms: -4 + -8 = -12 41 + 2T + 7hirst + 1hirsty = -12 + -12y + 7y Combine like terms: -12y + 7y = -5y 41 + 2T + 7hirst + 1hirsty = -12 + -5y Solving 41 + 2T + 7hirst + 1hirsty = -12 + -5y Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + 2T + 7hirst + -41 + 1hirsty = -12 + -41 + -5y Reorder the terms: 41 + -41 + 2T + 7hirst + 1hirsty = -12 + -41 + -5y Combine like terms: 41 + -41 = 0 0 + 2T + 7hirst + 1hirsty = -12 + -41 + -5y 2T + 7hirst + 1hirsty = -12 + -41 + -5y Combine like terms: -12 + -41 = -53 2T + 7hirst + 1hirsty = -53 + -5y Add '-7hirst' to each side of the equation. 2T + 7hirst + -7hirst + 1hirsty = -53 + -7hirst + -5y Combine like terms: 7hirst + -7hirst = 0 2T + 0 + 1hirsty = -53 + -7hirst + -5y 2T + 1hirsty = -53 + -7hirst + -5y Add '-1hirsty' to each side of the equation. 2T + 1hirsty + -1hirsty = -53 + -7hirst + -1hirsty + -5y Combine like terms: 1hirsty + -1hirsty = 0 2T + 0 = -53 + -7hirst + -1hirsty + -5y 2T = -53 + -7hirst + -1hirsty + -5y Divide each side by '2'. T = -26.5 + -3.5hirst + -0.5hirsty + -2.5y Simplifying T = -26.5 + -3.5hirst + -0.5hirsty + -2.5y
| 45-[4-2T-shirt(y+7)]=-4(1+3y)-[4-3(y+2)-2(2T-shirt)] | | 4a^2+8ab-21b^2= | | 9x+5=-7+7x+20 | | 7/9/2/3 | | 0.3x-0.75=0.83x+0.5 | | 231/3 | | 0.125x-65=0 | | 6x+6+x=1+3x+1 | | 0.3333x-0.75=0.83333x+0.5 | | -8n=-64n | | 7x+10/7=x+2 | | r(c-4)+t(c-4)= | | -6w+5/4=-5/3w-2/3 | | 8x-9y-5=0 | | ((x+1)/2)-((x+1)/(x+2))=0 | | x/16=-18 | | 5-2x=-2x+3 | | 4-4s+s^2=0 | | 17+0.7x=22+0.5x | | 49s^2-126s+81=0 | | -23=5r+3r | | 2.5x+3.9x-7=23.8 | | 8cg^4-8cm^4=0 | | 11(2+4)-2(z-4)=4(z-3)+4(z-2) | | 0.3x+0.4=0.5x-0.6 | | 5-5x=14-(6x+3) | | 2(x+4)+3=5x-3(-5+x) | | 45x^5=5x^3 | | 80s^2+44s-12=0 | | 4P=3P+28 | | -4/3n-2/3=5/6 | | 36b^2+39b-105=0 |