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Simplifying 16 = 5(k + -2) + -3k Reorder the terms: 16 = 5(-2 + k) + -3k 16 = (-2 * 5 + k * 5) + -3k 16 = (-10 + 5k) + -3k Combine like terms: 5k + -3k = 2k 16 = -10 + 2k Solving 16 = -10 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 16 + -2k = -10 + 2k + -2k Combine like terms: 2k + -2k = 0 16 + -2k = -10 + 0 16 + -2k = -10 Add '-16' to each side of the equation. 16 + -16 + -2k = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -2k = -10 + -16 -2k = -10 + -16 Combine like terms: -10 + -16 = -26 -2k = -26 Divide each side by '-2'. k = 13 Simplifying k = 13
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