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Simplifying 7k + 5(k + -7) = -107 Reorder the terms: 7k + 5(-7 + k) = -107 7k + (-7 * 5 + k * 5) = -107 7k + (-35 + 5k) = -107 Reorder the terms: -35 + 7k + 5k = -107 Combine like terms: 7k + 5k = 12k -35 + 12k = -107 Solving -35 + 12k = -107 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 12k = -107 + 35 Combine like terms: -35 + 35 = 0 0 + 12k = -107 + 35 12k = -107 + 35 Combine like terms: -107 + 35 = -72 12k = -72 Divide each side by '12'. k = -6 Simplifying k = -6
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