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Simplifying 3(4z + -1) + -2(z + 7) = 5(z + 1) Reorder the terms: 3(-1 + 4z) + -2(z + 7) = 5(z + 1) (-1 * 3 + 4z * 3) + -2(z + 7) = 5(z + 1) (-3 + 12z) + -2(z + 7) = 5(z + 1) Reorder the terms: -3 + 12z + -2(7 + z) = 5(z + 1) -3 + 12z + (7 * -2 + z * -2) = 5(z + 1) -3 + 12z + (-14 + -2z) = 5(z + 1) Reorder the terms: -3 + -14 + 12z + -2z = 5(z + 1) Combine like terms: -3 + -14 = -17 -17 + 12z + -2z = 5(z + 1) Combine like terms: 12z + -2z = 10z -17 + 10z = 5(z + 1) Reorder the terms: -17 + 10z = 5(1 + z) -17 + 10z = (1 * 5 + z * 5) -17 + 10z = (5 + 5z) Solving -17 + 10z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -17 + 10z + -5z = 5 + 5z + -5z Combine like terms: 10z + -5z = 5z -17 + 5z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -17 + 5z = 5 + 0 -17 + 5z = 5 Add '17' to each side of the equation. -17 + 17 + 5z = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 5z = 5 + 17 5z = 5 + 17 Combine like terms: 5 + 17 = 22 5z = 22 Divide each side by '5'. z = 4.4 Simplifying z = 4.4
| bx+4=34 | | -3(t-7)-(t+7)=11 | | 4a+3=3b-5 | | 4t^2-1t+4=0 | | -2x+10y=-10 | | f(x)=1+sinx+3cosx | | 2x+10y=-10 | | (x-5)(x^2+8x+2)= | | (7x+4)(7x+4)=36 | | 8y=200 | | (5y-3)(1+y)=0 | | 2z^2+3z+2=0 | | 3x^2+18x+2y^2-16y+47=0 | | x-x^2=-6 | | -6x^2(4x^3+7)= | | 0.02(n-450)=109 | | 7a+12a+7a=10a | | (5x^3-2x^2+2x+8)-(7x^2-3x+7)= | | 15y+-10x=30 | | 0=-6x^2-3x+5 | | x*21.33=0.8 | | x*1=0.8 | | x^2-13x+15= | | x^2-5x+9= | | p(x)=2x^3+21x^2+27x | | 92-(5x+16)=5(x+2)+x | | y=x^3-11x^2+35x+9 | | X=-24+3x | | 3t-2(t+5)=3(2-4t)+8 | | x*y*z=8 | | 3t-2(t+5)=3(2-4t)+8fort | | =x^2+x+1 |