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