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