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Simplifying 8(8 + -1k) = -2(k + -3) + -11 (8 * 8 + -1k * 8) = -2(k + -3) + -11 (64 + -8k) = -2(k + -3) + -11 Reorder the terms: 64 + -8k = -2(-3 + k) + -11 64 + -8k = (-3 * -2 + k * -2) + -11 64 + -8k = (6 + -2k) + -11 Reorder the terms: 64 + -8k = 6 + -11 + -2k Combine like terms: 6 + -11 = -5 64 + -8k = -5 + -2k Solving 64 + -8k = -5 + -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 = -5 + -2k + 2k Combine like terms: -8k + 2k = -6k 64 + -6k = -5 + -2k + 2k Combine like terms: -2k + 2k = 0 64 + -6k = -5 + 0 64 + -6k = -5 Add '-64' to each side of the equation. 64 + -64 + -6k = -5 + -64 Combine like terms: 64 + -64 = 0 0 + -6k = -5 + -64 -6k = -5 + -64 Combine like terms: -5 + -64 = -69 -6k = -69 Divide each side by '-6'. k = 11.5 Simplifying k = 11.5
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