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Simplifying -2(-5 + -3z) = 7z (-5 * -2 + -3z * -2) = 7z (10 + 6z) = 7z Solving 10 + 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. 10 + 6z + -7z = 7z + -7z Combine like terms: 6z + -7z = -1z 10 + -1z = 7z + -7z Combine like terms: 7z + -7z = 0 10 + -1z = 0 Add '-10' to each side of the equation. 10 + -10 + -1z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = 0 + -10 -1z = 0 + -10 Combine like terms: 0 + -10 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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