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Simplifying 5(v + -5) + -9 = -4(-5v + 5) + -9v Reorder the terms: 5(-5 + v) + -9 = -4(-5v + 5) + -9v (-5 * 5 + v * 5) + -9 = -4(-5v + 5) + -9v (-25 + 5v) + -9 = -4(-5v + 5) + -9v Reorder the terms: -25 + -9 + 5v = -4(-5v + 5) + -9v Combine like terms: -25 + -9 = -34 -34 + 5v = -4(-5v + 5) + -9v Reorder the terms: -34 + 5v = -4(5 + -5v) + -9v -34 + 5v = (5 * -4 + -5v * -4) + -9v -34 + 5v = (-20 + 20v) + -9v Combine like terms: 20v + -9v = 11v -34 + 5v = -20 + 11v Solving -34 + 5v = -20 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -34 + 5v + -11v = -20 + 11v + -11v Combine like terms: 5v + -11v = -6v -34 + -6v = -20 + 11v + -11v Combine like terms: 11v + -11v = 0 -34 + -6v = -20 + 0 -34 + -6v = -20 Add '34' to each side of the equation. -34 + 34 + -6v = -20 + 34 Combine like terms: -34 + 34 = 0 0 + -6v = -20 + 34 -6v = -20 + 34 Combine like terms: -20 + 34 = 14 -6v = 14 Divide each side by '-6'. v = -2.333333333 Simplifying v = -2.333333333
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