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Simplifying -1(8 + 12k) = -2(8k + -4) (8 * -1 + 12k * -1) = -2(8k + -4) (-8 + -12k) = -2(8k + -4) Reorder the terms: -8 + -12k = -2(-4 + 8k) -8 + -12k = (-4 * -2 + 8k * -2) -8 + -12k = (8 + -16k) Solving -8 + -12k = 8 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -8 + -12k + 16k = 8 + -16k + 16k Combine like terms: -12k + 16k = 4k -8 + 4k = 8 + -16k + 16k Combine like terms: -16k + 16k = 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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