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Simplifying 2.5(6.5 + 9.5z) = -21.5 (6.5 * 2.5 + 9.5z * 2.5) = -21.5 (16.25 + 23.75z) = -21.5 Solving 16.25 + 23.75z = -21.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16.25' to each side of the equation. 16.25 + -16.25 + 23.75z = -21.5 + -16.25 Combine like terms: 16.25 + -16.25 = 0.00 0.00 + 23.75z = -21.5 + -16.25 23.75z = -21.5 + -16.25 Combine like terms: -21.5 + -16.25 = -37.75 23.75z = -37.75 Divide each side by '23.75'. z = -1.589473684 Simplifying z = -1.589473684
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