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Simplifying -4(-1 + 4k) = 2(2 + -2k) (-1 * -4 + 4k * -4) = 2(2 + -2k) (4 + -16k) = 2(2 + -2k) 4 + -16k = (2 * 2 + -2k * 2) 4 + -16k = (4 + -4k) Add '-4' to each side of the equation. 4 + -4 + -16k = 4 + -4 + -4k Combine like terms: 4 + -4 = 0 0 + -16k = 4 + -4 + -4k -16k = 4 + -4 + -4k Combine like terms: 4 + -4 = 0 -16k = 0 + -4k -16k = -4k Solving -16k = -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. -16k + 4k = -4k + 4k Combine like terms: -16k + 4k = -12k -12k = -4k + 4k Combine like terms: -4k + 4k = 0 -12k = 0 Divide each side by '-12'. k = 0 Simplifying k = 0
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