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Simplifying 8(k + 9) + -1(5 + -8k) = 15k Reorder the terms: 8(9 + k) + -1(5 + -8k) = 15k (9 * 8 + k * 8) + -1(5 + -8k) = 15k (72 + 8k) + -1(5 + -8k) = 15k 72 + 8k + (5 * -1 + -8k * -1) = 15k 72 + 8k + (-5 + 8k) = 15k Reorder the terms: 72 + -5 + 8k + 8k = 15k Combine like terms: 72 + -5 = 67 67 + 8k + 8k = 15k Combine like terms: 8k + 8k = 16k 67 + 16k = 15k Solving 67 + 16k = 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 67 + 16k + -15k = 15k + -15k Combine like terms: 16k + -15k = 1k 67 + 1k = 15k + -15k Combine like terms: 15k + -15k = 0 67 + 1k = 0 Add '-67' to each side of the equation. 67 + -67 + 1k = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 1k = 0 + -67 1k = 0 + -67 Combine like terms: 0 + -67 = -67 1k = -67 Divide each side by '1'. k = -67 Simplifying k = -67
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