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Simplifying 5k + -1(8 + k) = -1(2k + 8) 5k + (8 * -1 + k * -1) = -1(2k + 8) 5k + (-8 + -1k) = -1(2k + 8) Reorder the terms: -8 + 5k + -1k = -1(2k + 8) Combine like terms: 5k + -1k = 4k -8 + 4k = -1(2k + 8) Reorder the terms: -8 + 4k = -1(8 + 2k) -8 + 4k = (8 * -1 + 2k * -1) -8 + 4k = (-8 + -2k) Add '8' to each side of the equation. -8 + 8 + 4k = -8 + 8 + -2k Combine like terms: -8 + 8 = 0 0 + 4k = -8 + 8 + -2k 4k = -8 + 8 + -2k Combine like terms: -8 + 8 = 0 4k = 0 + -2k 4k = -2k Solving 4k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 4k + 2k = -2k + 2k Combine like terms: 4k + 2k = 6k 6k = -2k + 2k Combine like terms: -2k + 2k = 0 6k = 0 Divide each side by '6'. k = 0 Simplifying k = 0
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