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Simplifying 0.5(-15k + 70) = 4k + 12k Reorder the terms: 0.5(70 + -15k) = 4k + 12k (70 * 0.5 + -15k * 0.5) = 4k + 12k (35 + -7.5k) = 4k + 12k Combine like terms: 4k + 12k = 16k 35 + -7.5k = 16k Solving 35 + -7.5k = 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 35 + -7.5k + -16k = 16k + -16k Combine like terms: -7.5k + -16k = -23.5k 35 + -23.5k = 16k + -16k Combine like terms: 16k + -16k = 0 35 + -23.5k = 0 Add '-35' to each side of the equation. 35 + -35 + -23.5k = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -23.5k = 0 + -35 -23.5k = 0 + -35 Combine like terms: 0 + -35 = -35 -23.5k = -35 Divide each side by '-23.5'. k = 1.489361702 Simplifying k = 1.489361702
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