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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 = -91 7z = -91 Divide each side by '7'. z = -13 Simplifying z = -13
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