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Simplifying 30 = -5(-9 + -3z) 30 = (-9 * -5 + -3z * -5) 30 = (45 + 15z) Solving 30 = 45 + 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. 30 + -15z = 45 + 15z + -15z Combine like terms: 15z + -15z = 0 30 + -15z = 45 + 0 30 + -15z = 45 Add '-30' to each side of the equation. 30 + -30 + -15z = 45 + -30 Combine like terms: 30 + -30 = 0 0 + -15z = 45 + -30 -15z = 45 + -30 Combine like terms: 45 + -30 = 15 -15z = 15 Divide each side by '-15'. z = -1 Simplifying z = -1
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