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Simplifying -2.5 + 8.5(1 + -9z) = -18.5 -2.5 + (1 * 8.5 + -9z * 8.5) = -18.5 -2.5 + (8.5 + -76.5z) = -18.5 Combine like terms: -2.5 + 8.5 = 6 6 + -76.5z = -18.5 Solving 6 + -76.5z = -18.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -76.5z = -18.5 + -6 Combine like terms: 6 + -6 = 0 0 + -76.5z = -18.5 + -6 -76.5z = -18.5 + -6 Combine like terms: -18.5 + -6 = -24.5 -76.5z = -24.5 Divide each side by '-76.5'. z = 0.3202614379 Simplifying z = 0.3202614379
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