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Simplifying -4(-5z + -9) + 3(3z + -2) = -115 Reorder the terms: -4(-9 + -5z) + 3(3z + -2) = -115 (-9 * -4 + -5z * -4) + 3(3z + -2) = -115 (36 + 20z) + 3(3z + -2) = -115 Reorder the terms: 36 + 20z + 3(-2 + 3z) = -115 36 + 20z + (-2 * 3 + 3z * 3) = -115 36 + 20z + (-6 + 9z) = -115 Reorder the terms: 36 + -6 + 20z + 9z = -115 Combine like terms: 36 + -6 = 30 30 + 20z + 9z = -115 Combine like terms: 20z + 9z = 29z 30 + 29z = -115 Solving 30 + 29z = -115 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 29z = -115 + -30 Combine like terms: 30 + -30 = 0 0 + 29z = -115 + -30 29z = -115 + -30 Combine like terms: -115 + -30 = -145 29z = -145 Divide each side by '29'. z = -5 Simplifying z = -5
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