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Simplifying 21 + 3k + -19 = 5 + 5k + -17 Reorder the terms: 21 + -19 + 3k = 5 + 5k + -17 Combine like terms: 21 + -19 = 2 2 + 3k = 5 + 5k + -17 Reorder the terms: 2 + 3k = 5 + -17 + 5k Combine like terms: 5 + -17 = -12 2 + 3k = -12 + 5k Solving 2 + 3k = -12 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 2 + 3k + -5k = -12 + 5k + -5k Combine like terms: 3k + -5k = -2k 2 + -2k = -12 + 5k + -5k Combine like terms: 5k + -5k = 0 2 + -2k = -12 + 0 2 + -2k = -12 Add '-2' to each side of the equation. 2 + -2 + -2k = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = -12 + -2 -2k = -12 + -2 Combine like terms: -12 + -2 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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