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Simplifying -7k + -8 = -6(2k + -2) Reorder the terms: -8 + -7k = -6(2k + -2) Reorder the terms: -8 + -7k = -6(-2 + 2k) -8 + -7k = (-2 * -6 + 2k * -6) -8 + -7k = (12 + -12k) Solving -8 + -7k = 12 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -8 + -7k + 12k = 12 + -12k + 12k Combine like terms: -7k + 12k = 5k -8 + 5k = 12 + -12k + 12k Combine like terms: -12k + 12k = 0 -8 + 5k = 12 + 0 -8 + 5k = 12 Add '8' to each side of the equation. -8 + 8 + 5k = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 5k = 12 + 8 5k = 12 + 8 Combine like terms: 12 + 8 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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