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Simplifying 3(3z + 5) = 2(2z + -5) Reorder the terms: 3(5 + 3z) = 2(2z + -5) (5 * 3 + 3z * 3) = 2(2z + -5) (15 + 9z) = 2(2z + -5) Reorder the terms: 15 + 9z = 2(-5 + 2z) 15 + 9z = (-5 * 2 + 2z * 2) 15 + 9z = (-10 + 4z) Solving 15 + 9z = -10 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 15 + 9z + -4z = -10 + 4z + -4z Combine like terms: 9z + -4z = 5z 15 + 5z = -10 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + 5z = -10 + 0 15 + 5z = -10 Add '-15' to each side of the equation. 15 + -15 + 5z = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 5z = -10 + -15 5z = -10 + -15 Combine like terms: -10 + -15 = -25 5z = -25 Divide each side by '5'. z = -5 Simplifying z = -5
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