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Simplifying 7(v + -3) + -4 = -5(-5v + 7) + -4v Reorder the terms: 7(-3 + v) + -4 = -5(-5v + 7) + -4v (-3 * 7 + v * 7) + -4 = -5(-5v + 7) + -4v (-21 + 7v) + -4 = -5(-5v + 7) + -4v Reorder the terms: -21 + -4 + 7v = -5(-5v + 7) + -4v Combine like terms: -21 + -4 = -25 -25 + 7v = -5(-5v + 7) + -4v Reorder the terms: -25 + 7v = -5(7 + -5v) + -4v -25 + 7v = (7 * -5 + -5v * -5) + -4v -25 + 7v = (-35 + 25v) + -4v Combine like terms: 25v + -4v = 21v -25 + 7v = -35 + 21v Solving -25 + 7v = -35 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -25 + 7v + -21v = -35 + 21v + -21v Combine like terms: 7v + -21v = -14v -25 + -14v = -35 + 21v + -21v Combine like terms: 21v + -21v = 0 -25 + -14v = -35 + 0 -25 + -14v = -35 Add '25' to each side of the equation. -25 + 25 + -14v = -35 + 25 Combine like terms: -25 + 25 = 0 0 + -14v = -35 + 25 -14v = -35 + 25 Combine like terms: -35 + 25 = -10 -14v = -10 Divide each side by '-14'. v = 0.7142857143 Simplifying v = 0.7142857143
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