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Simplifying -1(2z + 1) + 8 = -4 + -9z Reorder the terms: -1(1 + 2z) + 8 = -4 + -9z (1 * -1 + 2z * -1) + 8 = -4 + -9z (-1 + -2z) + 8 = -4 + -9z Reorder the terms: -1 + 8 + -2z = -4 + -9z Combine like terms: -1 + 8 = 7 7 + -2z = -4 + -9z Solving 7 + -2z = -4 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 7 + -2z + 9z = -4 + -9z + 9z Combine like terms: -2z + 9z = 7z 7 + 7z = -4 + -9z + 9z Combine like terms: -9z + 9z = 0 7 + 7z = -4 + 0 7 + 7z = -4 Add '-7' to each side of the equation. 7 + -7 + 7z = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 7z = -4 + -7 7z = -4 + -7 Combine like terms: -4 + -7 = -11 7z = -11 Divide each side by '7'. z = -1.571428571 Simplifying z = -1.571428571
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