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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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