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Simplifying 3(z + 5) = 2(3x + 12) Reorder the terms: 3(5 + z) = 2(3x + 12) (5 * 3 + z * 3) = 2(3x + 12) (15 + 3z) = 2(3x + 12) Reorder the terms: 15 + 3z = 2(12 + 3x) 15 + 3z = (12 * 2 + 3x * 2) 15 + 3z = (24 + 6x) Solving 15 + 3z = 24 + 6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3z = 24 + -15 + 6x Combine like terms: 15 + -15 = 0 0 + 3z = 24 + -15 + 6x 3z = 24 + -15 + 6x Combine like terms: 24 + -15 = 9 3z = 9 + 6x Divide each side by '3'. z = 3 + 2x Simplifying z = 3 + 2x
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