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Simplifying -9(z + -5) = 6 + -8z Reorder the terms: -9(-5 + z) = 6 + -8z (-5 * -9 + z * -9) = 6 + -8z (45 + -9z) = 6 + -8z Solving 45 + -9z = 6 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 45 + -9z + 8z = 6 + -8z + 8z Combine like terms: -9z + 8z = -1z 45 + -1z = 6 + -8z + 8z Combine like terms: -8z + 8z = 0 45 + -1z = 6 + 0 45 + -1z = 6 Add '-45' to each side of the equation. 45 + -45 + -1z = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -1z = 6 + -45 -1z = 6 + -45 Combine like terms: 6 + -45 = -39 -1z = -39 Divide each side by '-1'. z = 39 Simplifying z = 39
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