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Simplifying 4k + 13 = 7 + -2k Reorder the terms: 13 + 4k = 7 + -2k Solving 13 + 4k = 7 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 13 + 4k + 2k = 7 + -2k + 2k Combine like terms: 4k + 2k = 6k 13 + 6k = 7 + -2k + 2k Combine like terms: -2k + 2k = 0 13 + 6k = 7 + 0 13 + 6k = 7 Add '-13' to each side of the equation. 13 + -13 + 6k = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 6k = 7 + -13 6k = 7 + -13 Combine like terms: 7 + -13 = -6 6k = -6 Divide each side by '6'. k = -1 Simplifying k = -1
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