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Simplifying 3(k + 8) + -1(5k + -6) = -3k Reorder the terms: 3(8 + k) + -1(5k + -6) = -3k (8 * 3 + k * 3) + -1(5k + -6) = -3k (24 + 3k) + -1(5k + -6) = -3k Reorder the terms: 24 + 3k + -1(-6 + 5k) = -3k 24 + 3k + (-6 * -1 + 5k * -1) = -3k 24 + 3k + (6 + -5k) = -3k Reorder the terms: 24 + 6 + 3k + -5k = -3k Combine like terms: 24 + 6 = 30 30 + 3k + -5k = -3k Combine like terms: 3k + -5k = -2k 30 + -2k = -3k Solving 30 + -2k = -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. 30 + -2k + 3k = -3k + 3k Combine like terms: -2k + 3k = 1k 30 + 1k = -3k + 3k Combine like terms: -3k + 3k = 0 30 + 1k = 0 Add '-30' to each side of the equation. 30 + -30 + 1k = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1k = 0 + -30 1k = 0 + -30 Combine like terms: 0 + -30 = -30 1k = -30 Divide each side by '1'. k = -30 Simplifying k = -30
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