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Simplifying 3(3z + 4) = 4z + 27 Reorder the terms: 3(4 + 3z) = 4z + 27 (4 * 3 + 3z * 3) = 4z + 27 (12 + 9z) = 4z + 27 Reorder the terms: 12 + 9z = 27 + 4z Solving 12 + 9z = 27 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 12 + 9z + -4z = 27 + 4z + -4z Combine like terms: 9z + -4z = 5z 12 + 5z = 27 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + 5z = 27 + 0 12 + 5z = 27 Add '-12' to each side of the equation. 12 + -12 + 5z = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 5z = 27 + -12 5z = 27 + -12 Combine like terms: 27 + -12 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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