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Simplifying 0.2(25 + -5k) = 21 + -3 (25 * 0.2 + -5k * 0.2) = 21 + -3 (5 + -1k) = 21 + -3 Combine like terms: 21 + -3 = 18 5 + -1k = 18 Solving 5 + -1k = 18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1k = 18 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 18 + -5 -1k = 18 + -5 Combine like terms: 18 + -5 = 13 -1k = 13 Divide each side by '-1'. k = -13 Simplifying k = -13
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