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Simplifying 5(k + 2) + -9(k + -4) = 105 Reorder the terms: 5(2 + k) + -9(k + -4) = 105 (2 * 5 + k * 5) + -9(k + -4) = 105 (10 + 5k) + -9(k + -4) = 105 Reorder the terms: 10 + 5k + -9(-4 + k) = 105 10 + 5k + (-4 * -9 + k * -9) = 105 10 + 5k + (36 + -9k) = 105 Reorder the terms: 10 + 36 + 5k + -9k = 105 Combine like terms: 10 + 36 = 46 46 + 5k + -9k = 105 Combine like terms: 5k + -9k = -4k 46 + -4k = 105 Solving 46 + -4k = 105 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -4k = 105 + -46 Combine like terms: 46 + -46 = 0 0 + -4k = 105 + -46 -4k = 105 + -46 Combine like terms: 105 + -46 = 59 -4k = 59 Divide each side by '-4'. k = -14.75 Simplifying k = -14.75
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