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Simplifying -6(k + -5) = -5(k + -8) Reorder the terms: -6(-5 + k) = -5(k + -8) (-5 * -6 + k * -6) = -5(k + -8) (30 + -6k) = -5(k + -8) Reorder the terms: 30 + -6k = -5(-8 + k) 30 + -6k = (-8 * -5 + k * -5) 30 + -6k = (40 + -5k) Solving 30 + -6k = 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. 30 + -6k + 5k = 40 + -5k + 5k Combine like terms: -6k + 5k = -1k 30 + -1k = 40 + -5k + 5k Combine like terms: -5k + 5k = 0 30 + -1k = 40 + 0 30 + -1k = 40 Add '-30' to each side of the equation. 30 + -30 + -1k = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -1k = 40 + -30 -1k = 40 + -30 Combine like terms: 40 + -30 = 10 -1k = 10 Divide each side by '-1'. k = -10 Simplifying k = -10
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