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