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Simplifying 3x + -2(k + -1x + -1) = 5x + -4k Reorder the terms: 3x + -2(-1 + k + -1x) = 5x + -4k 3x + (-1 * -2 + k * -2 + -1x * -2) = 5x + -4k 3x + (2 + -2k + 2x) = 5x + -4k Reorder the terms: 2 + -2k + 3x + 2x = 5x + -4k Combine like terms: 3x + 2x = 5x 2 + -2k + 5x = 5x + -4k Reorder the terms: 2 + -2k + 5x = -4k + 5x Add '-5x' to each side of the equation. 2 + -2k + 5x + -5x = -4k + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2k + 0 = -4k + 5x + -5x 2 + -2k = -4k + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2k = -4k + 0 2 + -2k = -4k Solving 2 + -2k = -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. 2 + -2k + 4k = -4k + 4k Combine like terms: -2k + 4k = 2k 2 + 2k = -4k + 4k Combine like terms: -4k + 4k = 0 2 + 2k = 0 Add '-2' to each side of the equation. 2 + -2 + 2k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = 0 + -2 2k = 0 + -2 Combine like terms: 0 + -2 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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