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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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