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Simplifying -3(z + -1) = 9 + -2z Reorder the terms: -3(-1 + z) = 9 + -2z (-1 * -3 + z * -3) = 9 + -2z (3 + -3z) = 9 + -2z Solving 3 + -3z = 9 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 3 + -3z + 2z = 9 + -2z + 2z Combine like terms: -3z + 2z = -1z 3 + -1z = 9 + -2z + 2z Combine like terms: -2z + 2z = 0 3 + -1z = 9 + 0 3 + -1z = 9 Add '-3' to each side of the equation. 3 + -3 + -1z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 9 + -3 -1z = 9 + -3 Combine like terms: 9 + -3 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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