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Simplifying 0.2(25 + -5k) = 21 + -3(k + -4) (25 * 0.2 + -5k * 0.2) = 21 + -3(k + -4) (5 + -1k) = 21 + -3(k + -4) Reorder the terms: 5 + -1k = 21 + -3(-4 + k) 5 + -1k = 21 + (-4 * -3 + k * -3) 5 + -1k = 21 + (12 + -3k) Combine like terms: 21 + 12 = 33 5 + -1k = 33 + -3k Solving 5 + -1k = 33 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 5 + -1k + 3k = 33 + -3k + 3k Combine like terms: -1k + 3k = 2k 5 + 2k = 33 + -3k + 3k Combine like terms: -3k + 3k = 0 5 + 2k = 33 + 0 5 + 2k = 33 Add '-5' to each side of the equation. 5 + -5 + 2k = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 33 + -5 2k = 33 + -5 Combine like terms: 33 + -5 = 28 2k = 28 Divide each side by '2'. k = 14 Simplifying k = 14
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