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Simplifying 5k + -13 = 3k + 7 Reorder the terms: -13 + 5k = 3k + 7 Reorder the terms: -13 + 5k = 7 + 3k Solving -13 + 5k = 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 + 5k + -3k = 7 + 3k + -3k Combine like terms: 5k + -3k = 2k -13 + 2k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 -13 + 2k = 7 + 0 -13 + 2k = 7 Add '13' to each side of the equation. -13 + 13 + 2k = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 7 + 13 2k = 7 + 13 Combine like terms: 7 + 13 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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