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Simplifying 12k + 8 + -15 = 2(3k + -82) Reorder the terms: 8 + -15 + 12k = 2(3k + -82) Combine like terms: 8 + -15 = -7 -7 + 12k = 2(3k + -82) Reorder the terms: -7 + 12k = 2(-82 + 3k) -7 + 12k = (-82 * 2 + 3k * 2) -7 + 12k = (-164 + 6k) Solving -7 + 12k = -164 + 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. -7 + 12k + -6k = -164 + 6k + -6k Combine like terms: 12k + -6k = 6k -7 + 6k = -164 + 6k + -6k Combine like terms: 6k + -6k = 0 -7 + 6k = -164 + 0 -7 + 6k = -164 Add '7' to each side of the equation. -7 + 7 + 6k = -164 + 7 Combine like terms: -7 + 7 = 0 0 + 6k = -164 + 7 6k = -164 + 7 Combine like terms: -164 + 7 = -157 6k = -157 Divide each side by '6'. k = -26.16666667 Simplifying k = -26.16666667
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