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Simplifying 2(4 + -4k) + -4 = -8(k + 2) + 4k (4 * 2 + -4k * 2) + -4 = -8(k + 2) + 4k (8 + -8k) + -4 = -8(k + 2) + 4k Reorder the terms: 8 + -4 + -8k = -8(k + 2) + 4k Combine like terms: 8 + -4 = 4 4 + -8k = -8(k + 2) + 4k Reorder the terms: 4 + -8k = -8(2 + k) + 4k 4 + -8k = (2 * -8 + k * -8) + 4k 4 + -8k = (-16 + -8k) + 4k Combine like terms: -8k + 4k = -4k 4 + -8k = -16 + -4k Solving 4 + -8k = -16 + -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. 4 + -8k + 4k = -16 + -4k + 4k Combine like terms: -8k + 4k = -4k 4 + -4k = -16 + -4k + 4k Combine like terms: -4k + 4k = 0 4 + -4k = -16 + 0 4 + -4k = -16 Add '-4' to each side of the equation. 4 + -4 + -4k = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = -16 + -4 -4k = -16 + -4 Combine like terms: -16 + -4 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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