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Simplifying 9.5 + 3(1 + -6.5z) = 23.5 9.5 + (1 * 3 + -6.5z * 3) = 23.5 9.5 + (3 + -19.5z) = 23.5 Combine like terms: 9.5 + 3 = 12.5 12.5 + -19.5z = 23.5 Solving 12.5 + -19.5z = 23.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + -19.5z = 23.5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -19.5z = 23.5 + -12.5 -19.5z = 23.5 + -12.5 Combine like terms: 23.5 + -12.5 = 11 -19.5z = 11 Divide each side by '-19.5'. z = -0.5641025641 Simplifying z = -0.5641025641
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