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Simplifying 6(3z + 4) = 3(5z + 2) Reorder the terms: 6(4 + 3z) = 3(5z + 2) (4 * 6 + 3z * 6) = 3(5z + 2) (24 + 18z) = 3(5z + 2) Reorder the terms: 24 + 18z = 3(2 + 5z) 24 + 18z = (2 * 3 + 5z * 3) 24 + 18z = (6 + 15z) Solving 24 + 18z = 6 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 24 + 18z + -15z = 6 + 15z + -15z Combine like terms: 18z + -15z = 3z 24 + 3z = 6 + 15z + -15z Combine like terms: 15z + -15z = 0 24 + 3z = 6 + 0 24 + 3z = 6 Add '-24' to each side of the equation. 24 + -24 + 3z = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 3z = 6 + -24 3z = 6 + -24 Combine like terms: 6 + -24 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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