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Simplifying 2k + -10 = 3k + 8 Reorder the terms: -10 + 2k = 3k + 8 Reorder the terms: -10 + 2k = 8 + 3k Solving -10 + 2k = 8 + 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. -10 + 2k + -3k = 8 + 3k + -3k Combine like terms: 2k + -3k = -1k -10 + -1k = 8 + 3k + -3k Combine like terms: 3k + -3k = 0 -10 + -1k = 8 + 0 -10 + -1k = 8 Add '10' to each side of the equation. -10 + 10 + -1k = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -1k = 8 + 10 -1k = 8 + 10 Combine like terms: 8 + 10 = 18 -1k = 18 Divide each side by '-1'. k = -18 Simplifying k = -18
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