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