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Simplifying -2 + -5(4z + -2) = 3(-9z + 3) + -9 Reorder the terms: -2 + -5(-2 + 4z) = 3(-9z + 3) + -9 -2 + (-2 * -5 + 4z * -5) = 3(-9z + 3) + -9 -2 + (10 + -20z) = 3(-9z + 3) + -9 Combine like terms: -2 + 10 = 8 8 + -20z = 3(-9z + 3) + -9 Reorder the terms: 8 + -20z = 3(3 + -9z) + -9 8 + -20z = (3 * 3 + -9z * 3) + -9 8 + -20z = (9 + -27z) + -9 Reorder the terms: 8 + -20z = 9 + -9 + -27z Combine like terms: 9 + -9 = 0 8 + -20z = 0 + -27z 8 + -20z = -27z Solving 8 + -20z = -27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27z' to each side of the equation. 8 + -20z + 27z = -27z + 27z Combine like terms: -20z + 27z = 7z 8 + 7z = -27z + 27z Combine like terms: -27z + 27z = 0 8 + 7z = 0 Add '-8' to each side of the equation. 8 + -8 + 7z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = 0 + -8 7z = 0 + -8 Combine like terms: 0 + -8 = -8 7z = -8 Divide each side by '7'. z = -1.142857143 Simplifying z = -1.142857143
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