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Simplifying 2(k + 7) + -1(4k + -8) = -3k Reorder the terms: 2(7 + k) + -1(4k + -8) = -3k (7 * 2 + k * 2) + -1(4k + -8) = -3k (14 + 2k) + -1(4k + -8) = -3k Reorder the terms: 14 + 2k + -1(-8 + 4k) = -3k 14 + 2k + (-8 * -1 + 4k * -1) = -3k 14 + 2k + (8 + -4k) = -3k Reorder the terms: 14 + 8 + 2k + -4k = -3k Combine like terms: 14 + 8 = 22 22 + 2k + -4k = -3k Combine like terms: 2k + -4k = -2k 22 + -2k = -3k Solving 22 + -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. 22 + -2k + 3k = -3k + 3k Combine like terms: -2k + 3k = 1k 22 + 1k = -3k + 3k Combine like terms: -3k + 3k = 0 22 + 1k = 0 Add '-22' to each side of the equation. 22 + -22 + 1k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1k = 0 + -22 1k = 0 + -22 Combine like terms: 0 + -22 = -22 1k = -22 Divide each side by '1'. k = -22 Simplifying k = -22
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