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Simplifying -1 + -2(-9z + -8) = 3(3z + 6) + -9 Reorder the terms: -1 + -2(-8 + -9z) = 3(3z + 6) + -9 -1 + (-8 * -2 + -9z * -2) = 3(3z + 6) + -9 -1 + (16 + 18z) = 3(3z + 6) + -9 Combine like terms: -1 + 16 = 15 15 + 18z = 3(3z + 6) + -9 Reorder the terms: 15 + 18z = 3(6 + 3z) + -9 15 + 18z = (6 * 3 + 3z * 3) + -9 15 + 18z = (18 + 9z) + -9 Reorder the terms: 15 + 18z = 18 + -9 + 9z Combine like terms: 18 + -9 = 9 15 + 18z = 9 + 9z Solving 15 + 18z = 9 + 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. 15 + 18z + -9z = 9 + 9z + -9z Combine like terms: 18z + -9z = 9z 15 + 9z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 15 + 9z = 9 + 0 15 + 9z = 9 Add '-15' to each side of the equation. 15 + -15 + 9z = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 9z = 9 + -15 9z = 9 + -15 Combine like terms: 9 + -15 = -6 9z = -6 Divide each side by '9'. z = -0.6666666667 Simplifying z = -0.6666666667
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