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Simplifying -3k + 16 = -1(5k + -4) Reorder the terms: 16 + -3k = -1(5k + -4) Reorder the terms: 16 + -3k = -1(-4 + 5k) 16 + -3k = (-4 * -1 + 5k * -1) 16 + -3k = (4 + -5k) Solving 16 + -3k = 4 + -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. 16 + -3k + 5k = 4 + -5k + 5k Combine like terms: -3k + 5k = 2k 16 + 2k = 4 + -5k + 5k Combine like terms: -5k + 5k = 0 16 + 2k = 4 + 0 16 + 2k = 4 Add '-16' to each side of the equation. 16 + -16 + 2k = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2k = 4 + -16 2k = 4 + -16 Combine like terms: 4 + -16 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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