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Simplifying -4(v + 5) = -6v + -34 Reorder the terms: -4(5 + v) = -6v + -34 (5 * -4 + v * -4) = -6v + -34 (-20 + -4v) = -6v + -34 Reorder the terms: -20 + -4v = -34 + -6v Solving -20 + -4v = -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. -20 + -4v + 6v = -34 + -6v + 6v Combine like terms: -4v + 6v = 2v -20 + 2v = -34 + -6v + 6v Combine like terms: -6v + 6v = 0 -20 + 2v = -34 + 0 -20 + 2v = -34 Add '20' to each side of the equation. -20 + 20 + 2v = -34 + 20 Combine like terms: -20 + 20 = 0 0 + 2v = -34 + 20 2v = -34 + 20 Combine like terms: -34 + 20 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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