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Simplifying -3v + -1(2 + 7v) = -82 -3v + (2 * -1 + 7v * -1) = -82 -3v + (-2 + -7v) = -82 Reorder the terms: -2 + -3v + -7v = -82 Combine like terms: -3v + -7v = -10v -2 + -10v = -82 Solving -2 + -10v = -82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -10v = -82 + 2 Combine like terms: -2 + 2 = 0 0 + -10v = -82 + 2 -10v = -82 + 2 Combine like terms: -82 + 2 = -80 -10v = -80 Divide each side by '-10'. v = 8 Simplifying v = 8
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