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Simplifying -5(-5v + 7) + -4v = 5(v + -4) + -9 Reorder the terms: -5(7 + -5v) + -4v = 5(v + -4) + -9 (7 * -5 + -5v * -5) + -4v = 5(v + -4) + -9 (-35 + 25v) + -4v = 5(v + -4) + -9 Combine like terms: 25v + -4v = 21v -35 + 21v = 5(v + -4) + -9 Reorder the terms: -35 + 21v = 5(-4 + v) + -9 -35 + 21v = (-4 * 5 + v * 5) + -9 -35 + 21v = (-20 + 5v) + -9 Reorder the terms: -35 + 21v = -20 + -9 + 5v Combine like terms: -20 + -9 = -29 -35 + 21v = -29 + 5v Solving -35 + 21v = -29 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -35 + 21v + -5v = -29 + 5v + -5v Combine like terms: 21v + -5v = 16v -35 + 16v = -29 + 5v + -5v Combine like terms: 5v + -5v = 0 -35 + 16v = -29 + 0 -35 + 16v = -29 Add '35' to each side of the equation. -35 + 35 + 16v = -29 + 35 Combine like terms: -35 + 35 = 0 0 + 16v = -29 + 35 16v = -29 + 35 Combine like terms: -29 + 35 = 6 16v = 6 Divide each side by '16'. v = 0.375 Simplifying v = 0.375
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