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Simplifying [7t + -2] + -1[3 + 1] = -3[1 + -3t] Reorder the terms: [-2 + 7t] + -1[3 + 1] = -3[1 + -3t] Remove brackets around [-2 + 7t] -2 + 7t + -1[3 + 1] = -3[1 + -3t] Combine like terms: 3 + 1 = 4 -2 + 7t + -1[4] = -3[1 + -3t] Multiply -1 * 4 -2 + 7t + -4 = -3[1 + -3t] Reorder the terms: -2 + -4 + 7t = -3[1 + -3t] Combine like terms: -2 + -4 = -6 -6 + 7t = -3[1 + -3t] -6 + 7t = [1 * -3 + -3t * -3] -6 + 7t = [-3 + 9t] Solving -6 + 7t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -6 + 7t + -9t = -3 + 9t + -9t Combine like terms: 7t + -9t = -2t -6 + -2t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 -6 + -2t = -3 + 0 -6 + -2t = -3 Add '6' to each side of the equation. -6 + 6 + -2t = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -2t = -3 + 6 -2t = -3 + 6 Combine like terms: -3 + 6 = 3 -2t = 3 Divide each side by '-2'. t = -1.5 Simplifying t = -1.5
| 10xy+6y= | | 3(x+2)+10=4(x+5)+-12 | | 15x-2x^2=27 | | lg(x)=1000000 | | 9y+2=3y+12 | | -161=23j | | 2.5x-6-1.5x=0.7x+2.4+0.8 | | x+7.1=-8.3 | | 4x-9=7x-27 | | 3x+5=8-2x | | X-16=47forx | | X+x+x-20=180 | | -5r^6+40r^5-75=0 | | 2x-12x-1=8-2x | | -x+21=3x+31 | | 10-10x+14x=6+3(3+x) | | 3y-4+5-y= | | 55=180+41.6 | | 1x+9=20x+-10 | | 9x-2(x-4)=8-2x | | 3(2x+9)=-32+5 | | 0.14x+0.07(7000-x)=574 | | X-0.5x=475 | | 180=55+2x | | 3m+2(m+5)=-95 | | 6X+10-4X=106 | | -3(2x-4)=8-2x | | -12+5k= | | 4x-1=9x-1 | | 9x+1=4x+11 | | 12.13=2g+3.61 | | 3m+(m+5)=-95 |