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Simplifying 3k + -1(8 + k) = -1(4k + 8) 3k + (8 * -1 + k * -1) = -1(4k + 8) 3k + (-8 + -1k) = -1(4k + 8) Reorder the terms: -8 + 3k + -1k = -1(4k + 8) Combine like terms: 3k + -1k = 2k -8 + 2k = -1(4k + 8) Reorder the terms: -8 + 2k = -1(8 + 4k) -8 + 2k = (8 * -1 + 4k * -1) -8 + 2k = (-8 + -4k) Add '8' to each side of the equation. -8 + 8 + 2k = -8 + 8 + -4k Combine like terms: -8 + 8 = 0 0 + 2k = -8 + 8 + -4k 2k = -8 + 8 + -4k Combine like terms: -8 + 8 = 0 2k = 0 + -4k 2k = -4k Solving 2k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 2k + 4k = -4k + 4k Combine like terms: 2k + 4k = 6k 6k = -4k + 4k Combine like terms: -4k + 4k = 0 6k = 0 Divide each side by '6'. k = 0 Simplifying k = 0
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