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Simplifying 15 + -3z = -5(z + -9) Reorder the terms: 15 + -3z = -5(-9 + z) 15 + -3z = (-9 * -5 + z * -5) 15 + -3z = (45 + -5z) Solving 15 + -3z = 45 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 15 + -3z + 5z = 45 + -5z + 5z Combine like terms: -3z + 5z = 2z 15 + 2z = 45 + -5z + 5z Combine like terms: -5z + 5z = 0 15 + 2z = 45 + 0 15 + 2z = 45 Add '-15' to each side of the equation. 15 + -15 + 2z = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = 45 + -15 2z = 45 + -15 Combine like terms: 45 + -15 = 30 2z = 30 Divide each side by '2'. z = 15 Simplifying z = 15
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