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Simplifying 8(k + 9) = 5(k + -8) Reorder the terms: 8(9 + k) = 5(k + -8) (9 * 8 + k * 8) = 5(k + -8) (72 + 8k) = 5(k + -8) Reorder the terms: 72 + 8k = 5(-8 + k) 72 + 8k = (-8 * 5 + k * 5) 72 + 8k = (-40 + 5k) Solving 72 + 8k = -40 + 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. 72 + 8k + -5k = -40 + 5k + -5k Combine like terms: 8k + -5k = 3k 72 + 3k = -40 + 5k + -5k Combine like terms: 5k + -5k = 0 72 + 3k = -40 + 0 72 + 3k = -40 Add '-72' to each side of the equation. 72 + -72 + 3k = -40 + -72 Combine like terms: 72 + -72 = 0 0 + 3k = -40 + -72 3k = -40 + -72 Combine like terms: -40 + -72 = -112 3k = -112 Divide each side by '3'. k = -37.33333333 Simplifying k = -37.33333333
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