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Simplifying -5(k + -2) + 14 = -4k + -14 Reorder the terms: -5(-2 + k) + 14 = -4k + -14 (-2 * -5 + k * -5) + 14 = -4k + -14 (10 + -5k) + 14 = -4k + -14 Reorder the terms: 10 + 14 + -5k = -4k + -14 Combine like terms: 10 + 14 = 24 24 + -5k = -4k + -14 Reorder the terms: 24 + -5k = -14 + -4k Solving 24 + -5k = -14 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 24 + -5k + 4k = -14 + -4k + 4k Combine like terms: -5k + 4k = -1k 24 + -1k = -14 + -4k + 4k Combine like terms: -4k + 4k = 0 24 + -1k = -14 + 0 24 + -1k = -14 Add '-24' to each side of the equation. 24 + -24 + -1k = -14 + -24 Combine like terms: 24 + -24 = 0 0 + -1k = -14 + -24 -1k = -14 + -24 Combine like terms: -14 + -24 = -38 -1k = -38 Divide each side by '-1'. k = 38 Simplifying k = 38
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