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Simplifying 4(k + 6) + -1(8 + 3k) = -5 Reorder the terms: 4(6 + k) + -1(8 + 3k) = -5 (6 * 4 + k * 4) + -1(8 + 3k) = -5 (24 + 4k) + -1(8 + 3k) = -5 24 + 4k + (8 * -1 + 3k * -1) = -5 24 + 4k + (-8 + -3k) = -5 Reorder the terms: 24 + -8 + 4k + -3k = -5 Combine like terms: 24 + -8 = 16 16 + 4k + -3k = -5 Combine like terms: 4k + -3k = 1k 16 + 1k = -5 Solving 16 + 1k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1k = -5 + -16 Combine like terms: 16 + -16 = 0 0 + 1k = -5 + -16 1k = -5 + -16 Combine like terms: -5 + -16 = -21 1k = -21 Divide each side by '1'. k = -21 Simplifying k = -21
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