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Simplifying -3(2z + -6) = 3z + 9 Reorder the terms: -3(-6 + 2z) = 3z + 9 (-6 * -3 + 2z * -3) = 3z + 9 (18 + -6z) = 3z + 9 Reorder the terms: 18 + -6z = 9 + 3z Solving 18 + -6z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 18 + -6z + -3z = 9 + 3z + -3z Combine like terms: -6z + -3z = -9z 18 + -9z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 18 + -9z = 9 + 0 18 + -9z = 9 Add '-18' to each side of the equation. 18 + -18 + -9z = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -9z = 9 + -18 -9z = 9 + -18 Combine like terms: 9 + -18 = -9 -9z = -9 Divide each side by '-9'. z = 1 Simplifying z = 1
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