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Simplifying -5(5 + -3z) = 7z + 7 (5 * -5 + -3z * -5) = 7z + 7 (-25 + 15z) = 7z + 7 Reorder the terms: -25 + 15z = 7 + 7z Solving -25 + 15z = 7 + 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. -25 + 15z + -7z = 7 + 7z + -7z Combine like terms: 15z + -7z = 8z -25 + 8z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 -25 + 8z = 7 + 0 -25 + 8z = 7 Add '25' to each side of the equation. -25 + 25 + 8z = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 8z = 7 + 25 8z = 7 + 25 Combine like terms: 7 + 25 = 32 8z = 32 Divide each side by '8'. z = 4 Simplifying z = 4
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