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Simplifying 4k + 13 + 2k = 7 + 3k Reorder the terms: 13 + 4k + 2k = 7 + 3k Combine like terms: 4k + 2k = 6k 13 + 6k = 7 + 3k Solving 13 + 6k = 7 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 13 + 6k + -3k = 7 + 3k + -3k Combine like terms: 6k + -3k = 3k 13 + 3k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 13 + 3k = 7 + 0 13 + 3k = 7 Add '-13' to each side of the equation. 13 + -13 + 3k = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 3k = 7 + -13 3k = 7 + -13 Combine like terms: 7 + -13 = -6 3k = -6 Divide each side by '3'. k = -2 Simplifying k = -2
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