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Simplifying 5k + -8 = 10 + 2k Reorder the terms: -8 + 5k = 10 + 2k Solving -8 + 5k = 10 + 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. -8 + 5k + -2k = 10 + 2k + -2k Combine like terms: 5k + -2k = 3k -8 + 3k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -8 + 3k = 10 + 0 -8 + 3k = 10 Add '8' to each side of the equation. -8 + 8 + 3k = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3k = 10 + 8 3k = 10 + 8 Combine like terms: 10 + 8 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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