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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 = 21z 42 + 21z = -7z + 7z Combine like terms: -7z + 7z = 0 42 + 21z = 0 Add '-42' to each side of the equation. 42 + -42 + 21z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 21z = 0 + -42 21z = 0 + -42 Combine like terms: 0 + -42 = -42 21z = -42 Divide each side by '21'. z = -2 Simplifying z = -2
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