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Simplifying 4(k + 2) + -8k + -5 = 3k + 9 + -2(k + 6) Reorder the terms: 4(2 + k) + -8k + -5 = 3k + 9 + -2(k + 6) (2 * 4 + k * 4) + -8k + -5 = 3k + 9 + -2(k + 6) (8 + 4k) + -8k + -5 = 3k + 9 + -2(k + 6) Reorder the terms: 8 + -5 + 4k + -8k = 3k + 9 + -2(k + 6) Combine like terms: 8 + -5 = 3 3 + 4k + -8k = 3k + 9 + -2(k + 6) Combine like terms: 4k + -8k = -4k 3 + -4k = 3k + 9 + -2(k + 6) Reorder the terms: 3 + -4k = 3k + 9 + -2(6 + k) 3 + -4k = 3k + 9 + (6 * -2 + k * -2) 3 + -4k = 3k + 9 + (-12 + -2k) Reorder the terms: 3 + -4k = 9 + -12 + 3k + -2k Combine like terms: 9 + -12 = -3 3 + -4k = -3 + 3k + -2k Combine like terms: 3k + -2k = 1k 3 + -4k = -3 + 1k Solving 3 + -4k = -3 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 3 + -4k + -1k = -3 + 1k + -1k Combine like terms: -4k + -1k = -5k 3 + -5k = -3 + 1k + -1k Combine like terms: 1k + -1k = 0 3 + -5k = -3 + 0 3 + -5k = -3 Add '-3' to each side of the equation. 3 + -3 + -5k = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -5k = -3 + -3 -5k = -3 + -3 Combine like terms: -3 + -3 = -6 -5k = -6 Divide each side by '-5'. k = 1.2 Simplifying k = 1.2
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