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