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Simplifying 0.2(-20k + 60) = 4 + 15k Reorder the terms: 0.2(60 + -20k) = 4 + 15k (60 * 0.2 + -20k * 0.2) = 4 + 15k (12 + -4k) = 4 + 15k Solving 12 + -4k = 4 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 12 + -4k + -15k = 4 + 15k + -15k Combine like terms: -4k + -15k = -19k 12 + -19k = 4 + 15k + -15k Combine like terms: 15k + -15k = 0 12 + -19k = 4 + 0 12 + -19k = 4 Add '-12' to each side of the equation. 12 + -12 + -19k = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -19k = 4 + -12 -19k = 4 + -12 Combine like terms: 4 + -12 = -8 -19k = -8 Divide each side by '-19'. k = 0.4210526316 Simplifying k = 0.4210526316
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