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Simplifying 2(k + -4) = 2(4 + -1k) Reorder the terms: 2(-4 + k) = 2(4 + -1k) (-4 * 2 + k * 2) = 2(4 + -1k) (-8 + 2k) = 2(4 + -1k) -8 + 2k = (4 * 2 + -1k * 2) -8 + 2k = (8 + -2k) Solving -8 + 2k = 8 + -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. -8 + 2k + 2k = 8 + -2k + 2k Combine like terms: 2k + 2k = 4k -8 + 4k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 -8 + 4k = 8 + 0 -8 + 4k = 8 Add '8' to each side of the equation. -8 + 8 + 4k = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4k = 8 + 8 4k = 8 + 8 Combine like terms: 8 + 8 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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