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Simplifying 5(7 + 3k) = 9(k + -4) (7 * 5 + 3k * 5) = 9(k + -4) (35 + 15k) = 9(k + -4) Reorder the terms: 35 + 15k = 9(-4 + k) 35 + 15k = (-4 * 9 + k * 9) 35 + 15k = (-36 + 9k) Solving 35 + 15k = -36 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 35 + 15k + -9k = -36 + 9k + -9k Combine like terms: 15k + -9k = 6k 35 + 6k = -36 + 9k + -9k Combine like terms: 9k + -9k = 0 35 + 6k = -36 + 0 35 + 6k = -36 Add '-35' to each side of the equation. 35 + -35 + 6k = -36 + -35 Combine like terms: 35 + -35 = 0 0 + 6k = -36 + -35 6k = -36 + -35 Combine like terms: -36 + -35 = -71 6k = -71 Divide each side by '6'. k = -11.83333333 Simplifying k = -11.83333333
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