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