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Simplifying 2(24 + -1k) = 3k + -2 (24 * 2 + -1k * 2) = 3k + -2 (48 + -2k) = 3k + -2 Reorder the terms: 48 + -2k = -2 + 3k Solving 48 + -2k = -2 + 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. 48 + -2k + -3k = -2 + 3k + -3k Combine like terms: -2k + -3k = -5k 48 + -5k = -2 + 3k + -3k Combine like terms: 3k + -3k = 0 48 + -5k = -2 + 0 48 + -5k = -2 Add '-48' to each side of the equation. 48 + -48 + -5k = -2 + -48 Combine like terms: 48 + -48 = 0 0 + -5k = -2 + -48 -5k = -2 + -48 Combine like terms: -2 + -48 = -50 -5k = -50 Divide each side by '-5'. k = 10 Simplifying k = 10
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