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Simplifying 2 + 7(-6v + 6) = -82 Reorder the terms: 2 + 7(6 + -6v) = -82 2 + (6 * 7 + -6v * 7) = -82 2 + (42 + -42v) = -82 Combine like terms: 2 + 42 = 44 44 + -42v = -82 Solving 44 + -42v = -82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -42v = -82 + -44 Combine like terms: 44 + -44 = 0 0 + -42v = -82 + -44 -42v = -82 + -44 Combine like terms: -82 + -44 = -126 -42v = -126 Divide each side by '-42'. v = 3 Simplifying v = 3
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