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Simplifying -7k + 2(1 + k) = -7k + -12 -7k + (1 * 2 + k * 2) = -7k + -12 -7k + (2 + 2k) = -7k + -12 Reorder the terms: 2 + -7k + 2k = -7k + -12 Combine like terms: -7k + 2k = -5k 2 + -5k = -7k + -12 Reorder the terms: 2 + -5k = -12 + -7k Solving 2 + -5k = -12 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 2 + -5k + 7k = -12 + -7k + 7k Combine like terms: -5k + 7k = 2k 2 + 2k = -12 + -7k + 7k Combine like terms: -7k + 7k = 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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