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Simplifying -7 + 9(-1z + 4) = 3(2z + -8) + 7 Reorder the terms: -7 + 9(4 + -1z) = 3(2z + -8) + 7 -7 + (4 * 9 + -1z * 9) = 3(2z + -8) + 7 -7 + (36 + -9z) = 3(2z + -8) + 7 Combine like terms: -7 + 36 = 29 29 + -9z = 3(2z + -8) + 7 Reorder the terms: 29 + -9z = 3(-8 + 2z) + 7 29 + -9z = (-8 * 3 + 2z * 3) + 7 29 + -9z = (-24 + 6z) + 7 Reorder the terms: 29 + -9z = -24 + 7 + 6z Combine like terms: -24 + 7 = -17 29 + -9z = -17 + 6z Solving 29 + -9z = -17 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 29 + -9z + -6z = -17 + 6z + -6z Combine like terms: -9z + -6z = -15z 29 + -15z = -17 + 6z + -6z Combine like terms: 6z + -6z = 0 29 + -15z = -17 + 0 29 + -15z = -17 Add '-29' to each side of the equation. 29 + -29 + -15z = -17 + -29 Combine like terms: 29 + -29 = 0 0 + -15z = -17 + -29 -15z = -17 + -29 Combine like terms: -17 + -29 = -46 -15z = -46 Divide each side by '-15'. z = 3.066666667 Simplifying z = 3.066666667
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