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