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Simplifying 2(-2 + 12k) = -4(6k + -1) (-2 * 2 + 12k * 2) = -4(6k + -1) (-4 + 24k) = -4(6k + -1) Reorder the terms: -4 + 24k = -4(-1 + 6k) -4 + 24k = (-1 * -4 + 6k * -4) -4 + 24k = (4 + -24k) Solving -4 + 24k = 4 + -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 + 24k + 24k = 4 + -24k + 24k Combine like terms: 24k + 24k = 48k -4 + 48k = 4 + -24k + 24k Combine like terms: -24k + 24k = 0 -4 + 48k = 4 + 0 -4 + 48k = 4 Add '4' to each side of the equation. -4 + 4 + 48k = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 48k = 4 + 4 48k = 4 + 4 Combine like terms: 4 + 4 = 8 48k = 8 Divide each side by '48'. k = 0.1666666667 Simplifying k = 0.1666666667
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