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Simplifying 4(k + 9) + -1(-5k + -7) = 8k Reorder the terms: 4(9 + k) + -1(-5k + -7) = 8k (9 * 4 + k * 4) + -1(-5k + -7) = 8k (36 + 4k) + -1(-5k + -7) = 8k Reorder the terms: 36 + 4k + -1(-7 + -5k) = 8k 36 + 4k + (-7 * -1 + -5k * -1) = 8k 36 + 4k + (7 + 5k) = 8k Reorder the terms: 36 + 7 + 4k + 5k = 8k Combine like terms: 36 + 7 = 43 43 + 4k + 5k = 8k Combine like terms: 4k + 5k = 9k 43 + 9k = 8k Solving 43 + 9k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 43 + 9k + -8k = 8k + -8k Combine like terms: 9k + -8k = 1k 43 + 1k = 8k + -8k Combine like terms: 8k + -8k = 0 43 + 1k = 0 Add '-43' to each side of the equation. 43 + -43 + 1k = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 1k = 0 + -43 1k = 0 + -43 Combine like terms: 0 + -43 = -43 1k = -43 Divide each side by '1'. k = -43 Simplifying k = -43
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