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Simplifying 7k + 2 = 5(k + -4) Reorder the terms: 2 + 7k = 5(k + -4) Reorder the terms: 2 + 7k = 5(-4 + k) 2 + 7k = (-4 * 5 + k * 5) 2 + 7k = (-20 + 5k) Solving 2 + 7k = -20 + 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 + 7k + -5k = -20 + 5k + -5k Combine like terms: 7k + -5k = 2k 2 + 2k = -20 + 5k + -5k Combine like terms: 5k + -5k = 0 2 + 2k = -20 + 0 2 + 2k = -20 Add '-2' to each side of the equation. 2 + -2 + 2k = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -20 + -2 2k = -20 + -2 Combine like terms: -20 + -2 = -22 2k = -22 Divide each side by '2'. k = -11 Simplifying k = -11
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