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Simplifying 10 + 5k = 2k + 7 Reorder the terms: 10 + 5k = 7 + 2k Solving 10 + 5k = 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. 10 + 5k + -2k = 7 + 2k + -2k Combine like terms: 5k + -2k = 3k 10 + 3k = 7 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + 3k = 7 + 0 10 + 3k = 7 Add '-10' to each side of the equation. 10 + -10 + 3k = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = 7 + -10 3k = 7 + -10 Combine like terms: 7 + -10 = -3 3k = -3 Divide each side by '3'. k = -1 Simplifying k = -1
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