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Simplifying 3k + -10 = 2k + 21 Reorder the terms: -10 + 3k = 2k + 21 Reorder the terms: -10 + 3k = 21 + 2k Solving -10 + 3k = 21 + 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 + 3k + -2k = 21 + 2k + -2k Combine like terms: 3k + -2k = 1k -10 + 1k = 21 + 2k + -2k Combine like terms: 2k + -2k = 0 -10 + 1k = 21 + 0 -10 + 1k = 21 Add '10' to each side of the equation. -10 + 10 + 1k = 21 + 10 Combine like terms: -10 + 10 = 0 0 + 1k = 21 + 10 1k = 21 + 10 Combine like terms: 21 + 10 = 31 1k = 31 Divide each side by '1'. k = 31 Simplifying k = 31
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