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Simplifying 30.5 = -4.5(8.5k + -9) Reorder the terms: 30.5 = -4.5(-9 + 8.5k) 30.5 = (-9 * -4.5 + 8.5k * -4.5) 30.5 = (40.5 + -38.25k) Solving 30.5 = 40.5 + -38.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38.25k' to each side of the equation. 30.5 + 38.25k = 40.5 + -38.25k + 38.25k Combine like terms: -38.25k + 38.25k = 0.00 30.5 + 38.25k = 40.5 + 0.00 30.5 + 38.25k = 40.5 Add '-30.5' to each side of the equation. 30.5 + -30.5 + 38.25k = 40.5 + -30.5 Combine like terms: 30.5 + -30.5 = 0.0 0.0 + 38.25k = 40.5 + -30.5 38.25k = 40.5 + -30.5 Combine like terms: 40.5 + -30.5 = 10 38.25k = 10 Divide each side by '38.25'. k = 0.2614379085 Simplifying k = 0.2614379085
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