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Simplifying 3(5z + 5) = 5(6z + 3) Reorder the terms: 3(5 + 5z) = 5(6z + 3) (5 * 3 + 5z * 3) = 5(6z + 3) (15 + 15z) = 5(6z + 3) Reorder the terms: 15 + 15z = 5(3 + 6z) 15 + 15z = (3 * 5 + 6z * 5) 15 + 15z = (15 + 30z) Add '-15' to each side of the equation. 15 + -15 + 15z = 15 + -15 + 30z Combine like terms: 15 + -15 = 0 0 + 15z = 15 + -15 + 30z 15z = 15 + -15 + 30z Combine like terms: 15 + -15 = 0 15z = 0 + 30z 15z = 30z Solving 15z = 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. 15z + -30z = 30z + -30z Combine like terms: 15z + -30z = -15z -15z = 30z + -30z Combine like terms: 30z + -30z = 0 -15z = 0 Divide each side by '-15'. z = 0 Simplifying z = 0
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