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Simplifying 9(z + 3) = 12z Reorder the terms: 9(3 + z) = 12z (3 * 9 + z * 9) = 12z (27 + 9z) = 12z Solving 27 + 9z = 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 27 + 9z + -12z = 12z + -12z Combine like terms: 9z + -12z = -3z 27 + -3z = 12z + -12z Combine like terms: 12z + -12z = 0 27 + -3z = 0 Add '-27' to each side of the equation. 27 + -27 + -3z = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -3z = 0 + -27 -3z = 0 + -27 Combine like terms: 0 + -27 = -27 -3z = -27 Divide each side by '-3'. z = 9 Simplifying z = 9
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