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Simplifying 2(2k + -1) = 4 + -1(k + -2) Reorder the terms: 2(-1 + 2k) = 4 + -1(k + -2) (-1 * 2 + 2k * 2) = 4 + -1(k + -2) (-2 + 4k) = 4 + -1(k + -2) Reorder the terms: -2 + 4k = 4 + -1(-2 + k) -2 + 4k = 4 + (-2 * -1 + k * -1) -2 + 4k = 4 + (2 + -1k) Combine like terms: 4 + 2 = 6 -2 + 4k = 6 + -1k Solving -2 + 4k = 6 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -2 + 4k + k = 6 + -1k + k Combine like terms: 4k + k = 5k -2 + 5k = 6 + -1k + k Combine like terms: -1k + k = 0 -2 + 5k = 6 + 0 -2 + 5k = 6 Add '2' to each side of the equation. -2 + 2 + 5k = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 5k = 6 + 2 5k = 6 + 2 Combine like terms: 6 + 2 = 8 5k = 8 Divide each side by '5'. k = 1.6 Simplifying k = 1.6
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