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Simplifying -2(k + -2) + -1(8k + -8) = -11k Reorder the terms: -2(-2 + k) + -1(8k + -8) = -11k (-2 * -2 + k * -2) + -1(8k + -8) = -11k (4 + -2k) + -1(8k + -8) = -11k Reorder the terms: 4 + -2k + -1(-8 + 8k) = -11k 4 + -2k + (-8 * -1 + 8k * -1) = -11k 4 + -2k + (8 + -8k) = -11k Reorder the terms: 4 + 8 + -2k + -8k = -11k Combine like terms: 4 + 8 = 12 12 + -2k + -8k = -11k Combine like terms: -2k + -8k = -10k 12 + -10k = -11k Solving 12 + -10k = -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. 12 + -10k + 11k = -11k + 11k Combine like terms: -10k + 11k = 1k 12 + 1k = -11k + 11k Combine like terms: -11k + 11k = 0 12 + 1k = 0 Add '-12' to each side of the equation. 12 + -12 + 1k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1k = 0 + -12 1k = 0 + -12 Combine like terms: 0 + -12 = -12 1k = -12 Divide each side by '1'. k = -12 Simplifying k = -12
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