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Simplifying 7k + -2(k + 6) = -22 Reorder the terms: 7k + -2(6 + k) = -22 7k + (6 * -2 + k * -2) = -22 7k + (-12 + -2k) = -22 Reorder the terms: -12 + 7k + -2k = -22 Combine like terms: 7k + -2k = 5k -12 + 5k = -22 Solving -12 + 5k = -22 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 = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = -22 + 12 5k = -22 + 12 Combine like terms: -22 + 12 = -10 5k = -10 Divide each side by '5'. k = -2 Simplifying k = -2
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