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Simplifying 5k + -8 = 3k + 13 Reorder the terms: -8 + 5k = 3k + 13 Reorder the terms: -8 + 5k = 13 + 3k Solving -8 + 5k = 13 + 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. -8 + 5k + -3k = 13 + 3k + -3k Combine like terms: 5k + -3k = 2k -8 + 2k = 13 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + 2k = 13 + 0 -8 + 2k = 13 Add '8' to each side of the equation. -8 + 8 + 2k = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 2k = 13 + 8 2k = 13 + 8 Combine like terms: 13 + 8 = 21 2k = 21 Divide each side by '2'. k = 10.5 Simplifying k = 10.5
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