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Simplifying 5 = -1(1 + -2k) + -3(k + -3) 5 = (1 * -1 + -2k * -1) + -3(k + -3) 5 = (-1 + 2k) + -3(k + -3) Reorder the terms: 5 = -1 + 2k + -3(-3 + k) 5 = -1 + 2k + (-3 * -3 + k * -3) 5 = -1 + 2k + (9 + -3k) Reorder the terms: 5 = -1 + 9 + 2k + -3k Combine like terms: -1 + 9 = 8 5 = 8 + 2k + -3k Combine like terms: 2k + -3k = -1k 5 = 8 + -1k Solving 5 = 8 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 5 + k = 8 + -1k + k Combine like terms: -1k + k = 0 5 + k = 8 + 0 5 + k = 8 Add '-5' to each side of the equation. 5 + -5 + k = 8 + -5 Combine like terms: 5 + -5 = 0 0 + k = 8 + -5 k = 8 + -5 Combine like terms: 8 + -5 = 3 k = 3 Simplifying k = 3
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