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Simplifying -3(-5 + -2z) = 7z (-5 * -3 + -2z * -3) = 7z (15 + 6z) = 7z Solving 15 + 6z = 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. 15 + 6z + -7z = 7z + -7z Combine like terms: 6z + -7z = -1z 15 + -1z = 7z + -7z Combine like terms: 7z + -7z = 0 15 + -1z = 0 Add '-15' to each side of the equation. 15 + -15 + -1z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 0 + -15 -1z = 0 + -15 Combine like terms: 0 + -15 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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