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Simplifying 5k + -1(9 + k) = -1(8k + 9) 5k + (9 * -1 + k * -1) = -1(8k + 9) 5k + (-9 + -1k) = -1(8k + 9) Reorder the terms: -9 + 5k + -1k = -1(8k + 9) Combine like terms: 5k + -1k = 4k -9 + 4k = -1(8k + 9) Reorder the terms: -9 + 4k = -1(9 + 8k) -9 + 4k = (9 * -1 + 8k * -1) -9 + 4k = (-9 + -8k) Add '9' to each side of the equation. -9 + 9 + 4k = -9 + 9 + -8k Combine like terms: -9 + 9 = 0 0 + 4k = -9 + 9 + -8k 4k = -9 + 9 + -8k Combine like terms: -9 + 9 = 0 4k = 0 + -8k 4k = -8k Solving 4k = -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. 4k + 8k = -8k + 8k Combine like terms: 4k + 8k = 12k 12k = -8k + 8k Combine like terms: -8k + 8k = 0 12k = 0 Divide each side by '12'. k = 0 Simplifying k = 0
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