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Simplifying -19 = 1 + 3k + 7k Combine like terms: 3k + 7k = 10k -19 = 1 + 10k Solving -19 = 1 + 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. -19 + -10k = 1 + 10k + -10k Combine like terms: 10k + -10k = 0 -19 + -10k = 1 + 0 -19 + -10k = 1 Add '19' to each side of the equation. -19 + 19 + -10k = 1 + 19 Combine like terms: -19 + 19 = 0 0 + -10k = 1 + 19 -10k = 1 + 19 Combine like terms: 1 + 19 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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