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Simplifying 3(8 + -1k) + -8(0.5) = 2k (8 * 3 + -1k * 3) + -8(0.5) = 2k (24 + -3k) + -8(0.5) = 2k Multiply -8 * 0.5 24 + -3k + -4 = 2k Reorder the terms: 24 + -4 + -3k = 2k Combine like terms: 24 + -4 = 20 20 + -3k = 2k Solving 20 + -3k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 20 + -3k + -2k = 2k + -2k Combine like terms: -3k + -2k = -5k 20 + -5k = 2k + -2k Combine like terms: 2k + -2k = 0 20 + -5k = 0 Add '-20' to each side of the equation. 20 + -20 + -5k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5k = 0 + -20 -5k = 0 + -20 Combine like terms: 0 + -20 = -20 -5k = -20 Divide each side by '-5'. k = 4 Simplifying k = 4
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