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