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Simplifying 6k + -13 = 4k + 5 Reorder the terms: -13 + 6k = 4k + 5 Reorder the terms: -13 + 6k = 5 + 4k Solving -13 + 6k = 5 + 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. -13 + 6k + -4k = 5 + 4k + -4k Combine like terms: 6k + -4k = 2k -13 + 2k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 -13 + 2k = 5 + 0 -13 + 2k = 5 Add '13' to each side of the equation. -13 + 13 + 2k = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 5 + 13 2k = 5 + 13 Combine like terms: 5 + 13 = 18 2k = 18 Divide each side by '2'. k = 9 Simplifying k = 9
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