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Simplifying 7(z + 1) + -2(z + -1) = 2(z + 3) + (z + -4) Reorder the terms: 7(1 + z) + -2(z + -1) = 2(z + 3) + (z + -4) (1 * 7 + z * 7) + -2(z + -1) = 2(z + 3) + (z + -4) (7 + 7z) + -2(z + -1) = 2(z + 3) + (z + -4) Reorder the terms: 7 + 7z + -2(-1 + z) = 2(z + 3) + (z + -4) 7 + 7z + (-1 * -2 + z * -2) = 2(z + 3) + (z + -4) 7 + 7z + (2 + -2z) = 2(z + 3) + (z + -4) Reorder the terms: 7 + 2 + 7z + -2z = 2(z + 3) + (z + -4) Combine like terms: 7 + 2 = 9 9 + 7z + -2z = 2(z + 3) + (z + -4) Combine like terms: 7z + -2z = 5z 9 + 5z = 2(z + 3) + (z + -4) Reorder the terms: 9 + 5z = 2(3 + z) + (z + -4) 9 + 5z = (3 * 2 + z * 2) + (z + -4) 9 + 5z = (6 + 2z) + (z + -4) Reorder the terms: 9 + 5z = 6 + 2z + (-4 + z) Remove parenthesis around (-4 + z) 9 + 5z = 6 + 2z + -4 + z Reorder the terms: 9 + 5z = 6 + -4 + 2z + z Combine like terms: 6 + -4 = 2 9 + 5z = 2 + 2z + z Combine like terms: 2z + z = 3z 9 + 5z = 2 + 3z Solving 9 + 5z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9 + 5z + -3z = 2 + 3z + -3z Combine like terms: 5z + -3z = 2z 9 + 2z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + 2z = 2 + 0 9 + 2z = 2 Add '-9' to each side of the equation. 9 + -9 + 2z = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 2z = 2 + -9 2z = 2 + -9 Combine like terms: 2 + -9 = -7 2z = -7 Divide each side by '2'. z = -3.5 Simplifying z = -3.5
| w^3-4w^2+4w= | | 2x+9x-7x=23+5 | | 16x-(6x-2)=82 | | 2r^2-28r+98= | | 48=30-2(x-4) | | a^2+6a+9= | | 5b-5-12b-7= | | f(x+2)=3x^2+17x+20 | | 4a+6-6a= | | -8t^2+8t+30=0 | | x-0.3x=28 | | -6=-2+x/2 | | 3x^3+27x^2+54x=0 | | 85x+100y=519 | | y=89x+100 | | x^2-21x+68=0 | | (k/4)=(-17/2) | | -(-5-(-2))-(-14)= | | 4=1+x/4 | | 4x^2-90x+272=0 | | 7-2(x+3)-x=5 | | 7-3(x+3)-x=5 | | (2/3)(y+8)=(4/9)(y+6) | | (q/-9)=-9 | | 5(2+12x)=10 | | 3b-4-6b-6= | | -39=(q/3) | | 3(4-2y)=4+2y | | a+3b=100 | | 7-(x-2)=12 | | (-6)(-25)-8y=48 | | 35=(j/5) |