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Simplifying 8(k + -1) + -1(9 + 2k) = 5k Reorder the terms: 8(-1 + k) + -1(9 + 2k) = 5k (-1 * 8 + k * 8) + -1(9 + 2k) = 5k (-8 + 8k) + -1(9 + 2k) = 5k -8 + 8k + (9 * -1 + 2k * -1) = 5k -8 + 8k + (-9 + -2k) = 5k Reorder the terms: -8 + -9 + 8k + -2k = 5k Combine like terms: -8 + -9 = -17 -17 + 8k + -2k = 5k Combine like terms: 8k + -2k = 6k -17 + 6k = 5k Solving -17 + 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. -17 + 6k + -5k = 5k + -5k Combine like terms: 6k + -5k = 1k -17 + 1k = 5k + -5k Combine like terms: 5k + -5k = 0 -17 + 1k = 0 Add '17' to each side of the equation. -17 + 17 + 1k = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1k = 0 + 17 1k = 0 + 17 Combine like terms: 0 + 17 = 17 1k = 17 Divide each side by '1'. k = 17 Simplifying k = 17
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