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Simplifying 4(k + 2) + -8k + -5 = -3k + 9 + -3(k + 6) Reorder the terms: 4(2 + k) + -8k + -5 = -3k + 9 + -3(k + 6) (2 * 4 + k * 4) + -8k + -5 = -3k + 9 + -3(k + 6) (8 + 4k) + -8k + -5 = -3k + 9 + -3(k + 6) Reorder the terms: 8 + -5 + 4k + -8k = -3k + 9 + -3(k + 6) Combine like terms: 8 + -5 = 3 3 + 4k + -8k = -3k + 9 + -3(k + 6) Combine like terms: 4k + -8k = -4k 3 + -4k = -3k + 9 + -3(k + 6) Reorder the terms: 3 + -4k = -3k + 9 + -3(6 + k) 3 + -4k = -3k + 9 + (6 * -3 + k * -3) 3 + -4k = -3k + 9 + (-18 + -3k) Reorder the terms: 3 + -4k = 9 + -18 + -3k + -3k Combine like terms: 9 + -18 = -9 3 + -4k = -9 + -3k + -3k Combine like terms: -3k + -3k = -6k 3 + -4k = -9 + -6k Solving 3 + -4k = -9 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 3 + -4k + 6k = -9 + -6k + 6k Combine like terms: -4k + 6k = 2k 3 + 2k = -9 + -6k + 6k Combine like terms: -6k + 6k = 0 3 + 2k = -9 + 0 3 + 2k = -9 Add '-3' to each side of the equation. 3 + -3 + 2k = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = -9 + -3 2k = -9 + -3 Combine like terms: -9 + -3 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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