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Simplifying 3(2z + 4) = 6(5z + 2) Reorder the terms: 3(4 + 2z) = 6(5z + 2) (4 * 3 + 2z * 3) = 6(5z + 2) (12 + 6z) = 6(5z + 2) Reorder the terms: 12 + 6z = 6(2 + 5z) 12 + 6z = (2 * 6 + 5z * 6) 12 + 6z = (12 + 30z) Add '-12' to each side of the equation. 12 + -12 + 6z = 12 + -12 + 30z Combine like terms: 12 + -12 = 0 0 + 6z = 12 + -12 + 30z 6z = 12 + -12 + 30z Combine like terms: 12 + -12 = 0 6z = 0 + 30z 6z = 30z Solving 6z = 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. 6z + -30z = 30z + -30z Combine like terms: 6z + -30z = -24z -24z = 30z + -30z Combine like terms: 30z + -30z = 0 -24z = 0 Divide each side by '-24'. z = 0 Simplifying z = 0
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