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Simplifying 24 = -2 + 9(z + -5) Reorder the terms: 24 = -2 + 9(-5 + z) 24 = -2 + (-5 * 9 + z * 9) 24 = -2 + (-45 + 9z) Combine like terms: -2 + -45 = -47 24 = -47 + 9z Solving 24 = -47 + 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. 24 + -9z = -47 + 9z + -9z Combine like terms: 9z + -9z = 0 24 + -9z = -47 + 0 24 + -9z = -47 Add '-24' to each side of the equation. 24 + -24 + -9z = -47 + -24 Combine like terms: 24 + -24 = 0 0 + -9z = -47 + -24 -9z = -47 + -24 Combine like terms: -47 + -24 = -71 -9z = -71 Divide each side by '-9'. z = 7.888888889 Simplifying z = 7.888888889
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