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Simplifying -25.5 = -2 + 8.5(k + 9) Reorder the terms: -25.5 = -2 + 8.5(9 + k) -25.5 = -2 + (9 * 8.5 + k * 8.5) -25.5 = -2 + (76.5 + 8.5k) Combine like terms: -2 + 76.5 = 74.5 -25.5 = 74.5 + 8.5k Solving -25.5 = 74.5 + 8.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.5k' to each side of the equation. -25.5 + -8.5k = 74.5 + 8.5k + -8.5k Combine like terms: 8.5k + -8.5k = 0.0 -25.5 + -8.5k = 74.5 + 0.0 -25.5 + -8.5k = 74.5 Add '25.5' to each side of the equation. -25.5 + 25.5 + -8.5k = 74.5 + 25.5 Combine like terms: -25.5 + 25.5 = 0.0 0.0 + -8.5k = 74.5 + 25.5 -8.5k = 74.5 + 25.5 Combine like terms: 74.5 + 25.5 = 100 -8.5k = 100 Divide each side by '-8.5'. k = -11.76470588 Simplifying k = -11.76470588
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