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Simplifying -2(3 + 6v) + v = -83 (3 * -2 + 6v * -2) + v = -83 (-6 + -12v) + v = -83 Combine like terms: -12v + v = -11v -6 + -11v = -83 Solving -6 + -11v = -83 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11v = -83 + 6 Combine like terms: -6 + 6 = 0 0 + -11v = -83 + 6 -11v = -83 + 6 Combine like terms: -83 + 6 = -77 -11v = -77 Divide each side by '-11'. v = 7 Simplifying v = 7
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