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Simplifying 7k + -2(k + 6) = -2 Reorder the terms: 7k + -2(6 + k) = -2 7k + (6 * -2 + k * -2) = -2 7k + (-12 + -2k) = -2 Reorder the terms: -12 + 7k + -2k = -2 Combine like terms: 7k + -2k = 5k -12 + 5k = -2 Solving -12 + 5k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5k = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = -2 + 12 5k = -2 + 12 Combine like terms: -2 + 12 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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