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Simplifying 5(2z + 3) = 2(4 + 12z) Reorder the terms: 5(3 + 2z) = 2(4 + 12z) (3 * 5 + 2z * 5) = 2(4 + 12z) (15 + 10z) = 2(4 + 12z) 15 + 10z = (4 * 2 + 12z * 2) 15 + 10z = (8 + 24z) Solving 15 + 10z = 8 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 15 + 10z + -24z = 8 + 24z + -24z Combine like terms: 10z + -24z = -14z 15 + -14z = 8 + 24z + -24z Combine like terms: 24z + -24z = 0 15 + -14z = 8 + 0 15 + -14z = 8 Add '-15' to each side of the equation. 15 + -15 + -14z = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -14z = 8 + -15 -14z = 8 + -15 Combine like terms: 8 + -15 = -7 -14z = -7 Divide each side by '-14'. z = 0.5 Simplifying z = 0.5
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