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Simplifying 2v + -4(5 + -6v) = 7(1 + 5v) 2v + (5 * -4 + -6v * -4) = 7(1 + 5v) 2v + (-20 + 24v) = 7(1 + 5v) Reorder the terms: -20 + 2v + 24v = 7(1 + 5v) Combine like terms: 2v + 24v = 26v -20 + 26v = 7(1 + 5v) -20 + 26v = (1 * 7 + 5v * 7) -20 + 26v = (7 + 35v) Solving -20 + 26v = 7 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. -20 + 26v + -35v = 7 + 35v + -35v Combine like terms: 26v + -35v = -9v -20 + -9v = 7 + 35v + -35v Combine like terms: 35v + -35v = 0 -20 + -9v = 7 + 0 -20 + -9v = 7 Add '20' to each side of the equation. -20 + 20 + -9v = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -9v = 7 + 20 -9v = 7 + 20 Combine like terms: 7 + 20 = 27 -9v = 27 Divide each side by '-9'. v = -3 Simplifying v = -3
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