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