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Simplifying -2(k + 1) + -1(-8k + -9) = 5k Reorder the terms: -2(1 + k) + -1(-8k + -9) = 5k (1 * -2 + k * -2) + -1(-8k + -9) = 5k (-2 + -2k) + -1(-8k + -9) = 5k Reorder the terms: -2 + -2k + -1(-9 + -8k) = 5k -2 + -2k + (-9 * -1 + -8k * -1) = 5k -2 + -2k + (9 + 8k) = 5k Reorder the terms: -2 + 9 + -2k + 8k = 5k Combine like terms: -2 + 9 = 7 7 + -2k + 8k = 5k Combine like terms: -2k + 8k = 6k 7 + 6k = 5k Solving 7 + 6k = 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. 7 + 6k + -5k = 5k + -5k Combine like terms: 6k + -5k = 1k 7 + 1k = 5k + -5k Combine like terms: 5k + -5k = 0 7 + 1k = 0 Add '-7' to each side of the equation. 7 + -7 + 1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = 0 + -7 1k = 0 + -7 Combine like terms: 0 + -7 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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