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Simplifying 8[8 + -1k] = -2[k + -5] [8 * 8 + -1k * 8] = -2[k + -5] [64 + -8k] = -2[k + -5] Reorder the terms: 64 + -8k = -2[-5 + k] 64 + -8k = [-5 * -2 + k * -2] 64 + -8k = [10 + -2k] Solving 64 + -8k = 10 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 64 + -8k + 2k = 10 + -2k + 2k Combine like terms: -8k + 2k = -6k 64 + -6k = 10 + -2k + 2k Combine like terms: -2k + 2k = 0 64 + -6k = 10 + 0 64 + -6k = 10 Add '-64' to each side of the equation. 64 + -64 + -6k = 10 + -64 Combine like terms: 64 + -64 = 0 0 + -6k = 10 + -64 -6k = 10 + -64 Combine like terms: 10 + -64 = -54 -6k = -54 Divide each side by '-6'. k = 9 Simplifying k = 9
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