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Simplifying -1(4 + -2k) = -12(2k + -4) (4 * -1 + -2k * -1) = -12(2k + -4) (-4 + 2k) = -12(2k + -4) Reorder the terms: -4 + 2k = -12(-4 + 2k) -4 + 2k = (-4 * -12 + 2k * -12) -4 + 2k = (48 + -24k) Solving -4 + 2k = 48 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -4 + 2k + 24k = 48 + -24k + 24k Combine like terms: 2k + 24k = 26k -4 + 26k = 48 + -24k + 24k Combine like terms: -24k + 24k = 0 -4 + 26k = 48 + 0 -4 + 26k = 48 Add '4' to each side of the equation. -4 + 4 + 26k = 48 + 4 Combine like terms: -4 + 4 = 0 0 + 26k = 48 + 4 26k = 48 + 4 Combine like terms: 48 + 4 = 52 26k = 52 Divide each side by '26'. k = 2 Simplifying k = 2
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