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Simplifying 9 + 5z = 3(z + -5) Reorder the terms: 9 + 5z = 3(-5 + z) 9 + 5z = (-5 * 3 + z * 3) 9 + 5z = (-15 + 3z) Solving 9 + 5z = -15 + 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. 9 + 5z + -3z = -15 + 3z + -3z Combine like terms: 5z + -3z = 2z 9 + 2z = -15 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + 2z = -15 + 0 9 + 2z = -15 Add '-9' to each side of the equation. 9 + -9 + 2z = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 2z = -15 + -9 2z = -15 + -9 Combine like terms: -15 + -9 = -24 2z = -24 Divide each side by '2'. z = -12 Simplifying z = -12
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