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Simplifying 12(2k + -1) = 4(k + -2) Reorder the terms: 12(-1 + 2k) = 4(k + -2) (-1 * 12 + 2k * 12) = 4(k + -2) (-12 + 24k) = 4(k + -2) Reorder the terms: -12 + 24k = 4(-2 + k) -12 + 24k = (-2 * 4 + k * 4) -12 + 24k = (-8 + 4k) Solving -12 + 24k = -8 + 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. -12 + 24k + -4k = -8 + 4k + -4k Combine like terms: 24k + -4k = 20k -12 + 20k = -8 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + 20k = -8 + 0 -12 + 20k = -8 Add '12' to each side of the equation. -12 + 12 + 20k = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 20k = -8 + 12 20k = -8 + 12 Combine like terms: -8 + 12 = 4 20k = 4 Divide each side by '20'. k = 0.2 Simplifying k = 0.2
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