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Simplifying -82 = -2(6 + 7k) -82 = (6 * -2 + 7k * -2) -82 = (-12 + -14k) Solving -82 = -12 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -82 + 14k = -12 + -14k + 14k Combine like terms: -14k + 14k = 0 -82 + 14k = -12 + 0 -82 + 14k = -12 Add '82' to each side of the equation. -82 + 82 + 14k = -12 + 82 Combine like terms: -82 + 82 = 0 0 + 14k = -12 + 82 14k = -12 + 82 Combine like terms: -12 + 82 = 70 14k = 70 Divide each side by '14'. k = 5 Simplifying k = 5
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