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