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Simplifying 9(k + 1) = 5(k + -3) Reorder the terms: 9(1 + k) = 5(k + -3) (1 * 9 + k * 9) = 5(k + -3) (9 + 9k) = 5(k + -3) Reorder the terms: 9 + 9k = 5(-3 + k) 9 + 9k = (-3 * 5 + k * 5) 9 + 9k = (-15 + 5k) Solving 9 + 9k = -15 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 9 + 9k + -5k = -15 + 5k + -5k Combine like terms: 9k + -5k = 4k 9 + 4k = -15 + 5k + -5k Combine like terms: 5k + -5k = 0 9 + 4k = -15 + 0 9 + 4k = -15 Add '-9' to each side of the equation. 9 + -9 + 4k = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 4k = -15 + -9 4k = -15 + -9 Combine like terms: -15 + -9 = -24 4k = -24 Divide each side by '4'. k = -6 Simplifying k = -6
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