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Simplifying -20 + 3k = 17 + 3 + k Combine like terms: 17 + 3 = 20 -20 + 3k = 20 + k Solving -20 + 3k = 20 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -20 + 3k + -1k = 20 + k + -1k Combine like terms: 3k + -1k = 2k -20 + 2k = 20 + k + -1k Combine like terms: k + -1k = 0 -20 + 2k = 20 + 0 -20 + 2k = 20 Add '20' to each side of the equation. -20 + 20 + 2k = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 2k = 20 + 20 2k = 20 + 20 Combine like terms: 20 + 20 = 40 2k = 40 Divide each side by '2'. k = 20 Simplifying k = 20
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