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Simplifying -7(-6 + -2z) = 7z (-6 * -7 + -2z * -7) = 7z (42 + 14z) = 7z Solving 42 + 14z = 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. 42 + 14z + -7z = 7z + -7z Combine like terms: 14z + -7z = 7z 42 + 7z = 7z + -7z Combine like terms: 7z + -7z = 0 42 + 7z = 0 Add '-42' to each side of the equation. 42 + -42 + 7z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7z = 0 + -42 7z = 0 + -42 Combine like terms: 0 + -42 = -42 7z = -42 Divide each side by '7'. z = -6 Simplifying z = -6
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