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Simplifying 2k + -5 = 3(1 + -1k) Reorder the terms: -5 + 2k = 3(1 + -1k) -5 + 2k = (1 * 3 + -1k * 3) -5 + 2k = (3 + -3k) Solving -5 + 2k = 3 + -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. -5 + 2k + 3k = 3 + -3k + 3k Combine like terms: 2k + 3k = 5k -5 + 5k = 3 + -3k + 3k Combine like terms: -3k + 3k = 0 -5 + 5k = 3 + 0 -5 + 5k = 3 Add '5' to each side of the equation. -5 + 5 + 5k = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 5k = 3 + 5 5k = 3 + 5 Combine like terms: 3 + 5 = 8 5k = 8 Divide each side by '5'. k = 1.6 Simplifying k = 1.6
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