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Simplifying -2(v + 7) = -6v + -34 Reorder the terms: -2(7 + v) = -6v + -34 (7 * -2 + v * -2) = -6v + -34 (-14 + -2v) = -6v + -34 Reorder the terms: -14 + -2v = -34 + -6v Solving -14 + -2v = -34 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -14 + -2v + 6v = -34 + -6v + 6v Combine like terms: -2v + 6v = 4v -14 + 4v = -34 + -6v + 6v Combine like terms: -6v + 6v = 0 -14 + 4v = -34 + 0 -14 + 4v = -34 Add '14' to each side of the equation. -14 + 14 + 4v = -34 + 14 Combine like terms: -14 + 14 = 0 0 + 4v = -34 + 14 4v = -34 + 14 Combine like terms: -34 + 14 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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