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Simplifying 8(k + 3) = 5(k + -3) Reorder the terms: 8(3 + k) = 5(k + -3) (3 * 8 + k * 8) = 5(k + -3) (24 + 8k) = 5(k + -3) Reorder the terms: 24 + 8k = 5(-3 + k) 24 + 8k = (-3 * 5 + k * 5) 24 + 8k = (-15 + 5k) Solving 24 + 8k = -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. 24 + 8k + -5k = -15 + 5k + -5k Combine like terms: 8k + -5k = 3k 24 + 3k = -15 + 5k + -5k Combine like terms: 5k + -5k = 0 24 + 3k = -15 + 0 24 + 3k = -15 Add '-24' to each side of the equation. 24 + -24 + 3k = -15 + -24 Combine like terms: 24 + -24 = 0 0 + 3k = -15 + -24 3k = -15 + -24 Combine like terms: -15 + -24 = -39 3k = -39 Divide each side by '3'. k = -13 Simplifying k = -13
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