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