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Simplifying -12(z + -12) = -9(1 + 7x) Reorder the terms: -12(-12 + z) = -9(1 + 7x) (-12 * -12 + z * -12) = -9(1 + 7x) (144 + -12z) = -9(1 + 7x) 144 + -12z = (1 * -9 + 7x * -9) 144 + -12z = (-9 + -63x) Solving 144 + -12z = -9 + -63x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -12z = -9 + -144 + -63x Combine like terms: 144 + -144 = 0 0 + -12z = -9 + -144 + -63x -12z = -9 + -144 + -63x Combine like terms: -9 + -144 = -153 -12z = -153 + -63x Divide each side by '-12'. z = 12.75 + 5.25x Simplifying z = 12.75 + 5.25x
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