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Simplifying 6(k + 8) + -1(5 + 7k) = -2k Reorder the terms: 6(8 + k) + -1(5 + 7k) = -2k (8 * 6 + k * 6) + -1(5 + 7k) = -2k (48 + 6k) + -1(5 + 7k) = -2k 48 + 6k + (5 * -1 + 7k * -1) = -2k 48 + 6k + (-5 + -7k) = -2k Reorder the terms: 48 + -5 + 6k + -7k = -2k Combine like terms: 48 + -5 = 43 43 + 6k + -7k = -2k Combine like terms: 6k + -7k = -1k 43 + -1k = -2k Solving 43 + -1k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 43 + -1k + 2k = -2k + 2k Combine like terms: -1k + 2k = 1k 43 + 1k = -2k + 2k Combine like terms: -2k + 2k = 0 43 + 1k = 0 Add '-43' to each side of the equation. 43 + -43 + 1k = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 1k = 0 + -43 1k = 0 + -43 Combine like terms: 0 + -43 = -43 1k = -43 Divide each side by '1'. k = -43 Simplifying k = -43
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