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Simplifying 3(3z + 4) = 54 + 6z Reorder the terms: 3(4 + 3z) = 54 + 6z (4 * 3 + 3z * 3) = 54 + 6z (12 + 9z) = 54 + 6z Solving 12 + 9z = 54 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + 9z + -6z = 54 + 6z + -6z Combine like terms: 9z + -6z = 3z 12 + 3z = 54 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + 3z = 54 + 0 12 + 3z = 54 Add '-12' to each side of the equation. 12 + -12 + 3z = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 54 + -12 3z = 54 + -12 Combine like terms: 54 + -12 = 42 3z = 42 Divide each side by '3'. z = 14 Simplifying z = 14
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