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Simplifying 9(5 + -1z) = -8z (5 * 9 + -1z * 9) = -8z (45 + -9z) = -8z Solving 45 + -9z = -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 = -8z + 8z Combine like terms: -9z + 8z = -1z 45 + -1z = -8z + 8z Combine like terms: -8z + 8z = 0 45 + -1z = 0 Add '-45' to each side of the equation. 45 + -45 + -1z = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1z = 0 + -45 -1z = 0 + -45 Combine like terms: 0 + -45 = -45 -1z = -45 Divide each side by '-1'. z = 45 Simplifying z = 45
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