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Simplifying -2 + 19 = 3k + -1 Combine like terms: -2 + 19 = 17 17 = 3k + -1 Reorder the terms: 17 = -1 + 3k Solving 17 = -1 + 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. 17 + -3k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 17 + -3k = -1 + 0 17 + -3k = -1 Add '-17' to each side of the equation. 17 + -17 + -3k = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = -1 + -17 -3k = -1 + -17 Combine like terms: -1 + -17 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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