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Simplifying -8(z + -8) = 8 + -7z Reorder the terms: -8(-8 + z) = 8 + -7z (-8 * -8 + z * -8) = 8 + -7z (64 + -8z) = 8 + -7z Solving 64 + -8z = 8 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 64 + -8z + 7z = 8 + -7z + 7z Combine like terms: -8z + 7z = -1z 64 + -1z = 8 + -7z + 7z Combine like terms: -7z + 7z = 0 64 + -1z = 8 + 0 64 + -1z = 8 Add '-64' to each side of the equation. 64 + -64 + -1z = 8 + -64 Combine like terms: 64 + -64 = 0 0 + -1z = 8 + -64 -1z = 8 + -64 Combine like terms: 8 + -64 = -56 -1z = -56 Divide each side by '-1'. z = 56 Simplifying z = 56
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