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Simplifying -35 = 7[z + -8] Reorder the terms: -35 = 7[-8 + z] -35 = [-8 * 7 + z * 7] -35 = [-56 + 7z] Solving -35 = -56 + 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. -35 + -7z = -56 + 7z + -7z Combine like terms: 7z + -7z = 0 -35 + -7z = -56 + 0 -35 + -7z = -56 Add '35' to each side of the equation. -35 + 35 + -7z = -56 + 35 Combine like terms: -35 + 35 = 0 0 + -7z = -56 + 35 -7z = -56 + 35 Combine like terms: -56 + 35 = -21 -7z = -21 Divide each side by '-7'. z = 3 Simplifying z = 3
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