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Simplifying 5(3 + z) = 3(z + 2) (3 * 5 + z * 5) = 3(z + 2) (15 + 5z) = 3(z + 2) Reorder the terms: 15 + 5z = 3(2 + z) 15 + 5z = (2 * 3 + z * 3) 15 + 5z = (6 + 3z) Solving 15 + 5z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 15 + 5z + -3z = 6 + 3z + -3z Combine like terms: 5z + -3z = 2z 15 + 2z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 15 + 2z = 6 + 0 15 + 2z = 6 Add '-15' to each side of the equation. 15 + -15 + 2z = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = 6 + -15 2z = 6 + -15 Combine like terms: 6 + -15 = -9 2z = -9 Divide each side by '2'. z = -4.5 Simplifying z = -4.5
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