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Simplifying -7(z + -1) = -6(z + 4) Reorder the terms: -7(-1 + z) = -6(z + 4) (-1 * -7 + z * -7) = -6(z + 4) (7 + -7z) = -6(z + 4) Reorder the terms: 7 + -7z = -6(4 + z) 7 + -7z = (4 * -6 + z * -6) 7 + -7z = (-24 + -6z) Solving 7 + -7z = -24 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 7 + -7z + 6z = -24 + -6z + 6z Combine like terms: -7z + 6z = -1z 7 + -1z = -24 + -6z + 6z Combine like terms: -6z + 6z = 0 7 + -1z = -24 + 0 7 + -1z = -24 Add '-7' to each side of the equation. 7 + -7 + -1z = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = -24 + -7 -1z = -24 + -7 Combine like terms: -24 + -7 = -31 -1z = -31 Divide each side by '-1'. z = 31 Simplifying z = 31
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