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Simplifying 2(2k + -1) = 4k(-2) Reorder the terms: 2(-1 + 2k) = 4k(-2) (-1 * 2 + 2k * 2) = 4k(-2) (-2 + 4k) = 4k(-2) Reorder the terms for easier multiplication: -2 + 4k = 4 * -2k Multiply 4 * -2 -2 + 4k = -8k Solving -2 + 4k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -2 + 4k + 8k = -8k + 8k Combine like terms: 4k + 8k = 12k -2 + 12k = -8k + 8k Combine like terms: -8k + 8k = 0 -2 + 12k = 0 Add '2' to each side of the equation. -2 + 2 + 12k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12k = 0 + 2 12k = 0 + 2 Combine like terms: 0 + 2 = 2 12k = 2 Divide each side by '12'. k = 0.1666666667 Simplifying k = 0.1666666667
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