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Simplifying -3 + 5(6 + -1k) = 4(1 + -2k) -3 + (6 * 5 + -1k * 5) = 4(1 + -2k) -3 + (30 + -5k) = 4(1 + -2k) Combine like terms: -3 + 30 = 27 27 + -5k = 4(1 + -2k) 27 + -5k = (1 * 4 + -2k * 4) 27 + -5k = (4 + -8k) Solving 27 + -5k = 4 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 27 + -5k + 8k = 4 + -8k + 8k Combine like terms: -5k + 8k = 3k 27 + 3k = 4 + -8k + 8k Combine like terms: -8k + 8k = 0 27 + 3k = 4 + 0 27 + 3k = 4 Add '-27' to each side of the equation. 27 + -27 + 3k = 4 + -27 Combine like terms: 27 + -27 = 0 0 + 3k = 4 + -27 3k = 4 + -27 Combine like terms: 4 + -27 = -23 3k = -23 Divide each side by '3'. k = -7.666666667 Simplifying k = -7.666666667
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