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