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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 = -17z 45 + -17z = 8z + -8z Combine like terms: 8z + -8z = 0 45 + -17z = 0 Add '-45' to each side of the equation. 45 + -45 + -17z = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -17z = 0 + -45 -17z = 0 + -45 Combine like terms: 0 + -45 = -45 -17z = -45 Divide each side by '-17'. z = 2.647058824 Simplifying z = 2.647058824
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