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Simplifying -4(z + -1) = 3(z + 6) Reorder the terms: -4(-1 + z) = 3(z + 6) (-1 * -4 + z * -4) = 3(z + 6) (4 + -4z) = 3(z + 6) Reorder the terms: 4 + -4z = 3(6 + z) 4 + -4z = (6 * 3 + z * 3) 4 + -4z = (18 + 3z) Solving 4 + -4z = 18 + 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. 4 + -4z + -3z = 18 + 3z + -3z Combine like terms: -4z + -3z = -7z 4 + -7z = 18 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -7z = 18 + 0 4 + -7z = 18 Add '-4' to each side of the equation. 4 + -4 + -7z = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 18 + -4 -7z = 18 + -4 Combine like terms: 18 + -4 = 14 -7z = 14 Divide each side by '-7'. z = -2 Simplifying z = -2
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