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Simplifying 14 + (2k + -9) = 3k + (7k + 13) Reorder the terms: 14 + (-9 + 2k) = 3k + (7k + 13) Remove parenthesis around (-9 + 2k) 14 + -9 + 2k = 3k + (7k + 13) Combine like terms: 14 + -9 = 5 5 + 2k = 3k + (7k + 13) Reorder the terms: 5 + 2k = 3k + (13 + 7k) Remove parenthesis around (13 + 7k) 5 + 2k = 3k + 13 + 7k Reorder the terms: 5 + 2k = 13 + 3k + 7k Combine like terms: 3k + 7k = 10k 5 + 2k = 13 + 10k Solving 5 + 2k = 13 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 5 + 2k + -10k = 13 + 10k + -10k Combine like terms: 2k + -10k = -8k 5 + -8k = 13 + 10k + -10k Combine like terms: 10k + -10k = 0 5 + -8k = 13 + 0 5 + -8k = 13 Add '-5' to each side of the equation. 5 + -5 + -8k = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -8k = 13 + -5 -8k = 13 + -5 Combine like terms: 13 + -5 = 8 -8k = 8 Divide each side by '-8'. k = -1 Simplifying k = -1
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