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Simplifying 2k + -5 = 4k + 13 Reorder the terms: -5 + 2k = 4k + 13 Reorder the terms: -5 + 2k = 13 + 4k Solving -5 + 2k = 13 + 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. -5 + 2k + -4k = 13 + 4k + -4k Combine like terms: 2k + -4k = -2k -5 + -2k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 -5 + -2k = 13 + 0 -5 + -2k = 13 Add '5' to each side of the equation. -5 + 5 + -2k = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -2k = 13 + 5 -2k = 13 + 5 Combine like terms: 13 + 5 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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