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Simplifying -5(k + -3) + -14 = -4k + 16 Reorder the terms: -5(-3 + k) + -14 = -4k + 16 (-3 * -5 + k * -5) + -14 = -4k + 16 (15 + -5k) + -14 = -4k + 16 Reorder the terms: 15 + -14 + -5k = -4k + 16 Combine like terms: 15 + -14 = 1 1 + -5k = -4k + 16 Reorder the terms: 1 + -5k = 16 + -4k Solving 1 + -5k = 16 + -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. 1 + -5k + 4k = 16 + -4k + 4k Combine like terms: -5k + 4k = -1k 1 + -1k = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 1 + -1k = 16 + 0 1 + -1k = 16 Add '-1' to each side of the equation. 1 + -1 + -1k = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 16 + -1 -1k = 16 + -1 Combine like terms: 16 + -1 = 15 -1k = 15 Divide each side by '-1'. k = -15 Simplifying k = -15
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