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Simplifying 8(k + 5) + -6(k + -1) = 48 Reorder the terms: 8(5 + k) + -6(k + -1) = 48 (5 * 8 + k * 8) + -6(k + -1) = 48 (40 + 8k) + -6(k + -1) = 48 Reorder the terms: 40 + 8k + -6(-1 + k) = 48 40 + 8k + (-1 * -6 + k * -6) = 48 40 + 8k + (6 + -6k) = 48 Reorder the terms: 40 + 6 + 8k + -6k = 48 Combine like terms: 40 + 6 = 46 46 + 8k + -6k = 48 Combine like terms: 8k + -6k = 2k 46 + 2k = 48 Solving 46 + 2k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 2k = 48 + -46 Combine like terms: 46 + -46 = 0 0 + 2k = 48 + -46 2k = 48 + -46 Combine like terms: 48 + -46 = 2 2k = 2 Divide each side by '2'. k = 1 Simplifying k = 1
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