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Simplifying -8 + -1(k + -6) = 6k + 12 Reorder the terms: -8 + -1(-6 + k) = 6k + 12 -8 + (-6 * -1 + k * -1) = 6k + 12 -8 + (6 + -1k) = 6k + 12 Combine like terms: -8 + 6 = -2 -2 + -1k = 6k + 12 Reorder the terms: -2 + -1k = 12 + 6k Solving -2 + -1k = 12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -2 + -1k + -6k = 12 + 6k + -6k Combine like terms: -1k + -6k = -7k -2 + -7k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 -2 + -7k = 12 + 0 -2 + -7k = 12 Add '2' to each side of the equation. -2 + 2 + -7k = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7k = 12 + 2 -7k = 12 + 2 Combine like terms: 12 + 2 = 14 -7k = 14 Divide each side by '-7'. k = -2 Simplifying k = -2
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