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Simplifying 5(k + -2) = -1(7k + -2) Reorder the terms: 5(-2 + k) = -1(7k + -2) (-2 * 5 + k * 5) = -1(7k + -2) (-10 + 5k) = -1(7k + -2) Reorder the terms: -10 + 5k = -1(-2 + 7k) -10 + 5k = (-2 * -1 + 7k * -1) -10 + 5k = (2 + -7k) Solving -10 + 5k = 2 + -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. -10 + 5k + 7k = 2 + -7k + 7k Combine like terms: 5k + 7k = 12k -10 + 12k = 2 + -7k + 7k Combine like terms: -7k + 7k = 0 -10 + 12k = 2 + 0 -10 + 12k = 2 Add '10' to each side of the equation. -10 + 10 + 12k = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 12k = 2 + 10 12k = 2 + 10 Combine like terms: 2 + 10 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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