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Simplifying 3(k + 8) + -1(2k + 5) = -7 Reorder the terms: 3(8 + k) + -1(2k + 5) = -7 (8 * 3 + k * 3) + -1(2k + 5) = -7 (24 + 3k) + -1(2k + 5) = -7 Reorder the terms: 24 + 3k + -1(5 + 2k) = -7 24 + 3k + (5 * -1 + 2k * -1) = -7 24 + 3k + (-5 + -2k) = -7 Reorder the terms: 24 + -5 + 3k + -2k = -7 Combine like terms: 24 + -5 = 19 19 + 3k + -2k = -7 Combine like terms: 3k + -2k = 1k 19 + 1k = -7 Solving 19 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1k = -7 + -19 Combine like terms: 19 + -19 = 0 0 + 1k = -7 + -19 1k = -7 + -19 Combine like terms: -7 + -19 = -26 1k = -26 Divide each side by '1'. k = -26 Simplifying k = -26
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