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Simplifying -1(v + 5) + -4v = 5(v + -5) Reorder the terms: -1(5 + v) + -4v = 5(v + -5) (5 * -1 + v * -1) + -4v = 5(v + -5) (-5 + -1v) + -4v = 5(v + -5) Combine like terms: -1v + -4v = -5v -5 + -5v = 5(v + -5) Reorder the terms: -5 + -5v = 5(-5 + v) -5 + -5v = (-5 * 5 + v * 5) -5 + -5v = (-25 + 5v) Solving -5 + -5v = -25 + 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. -5 + -5v + -5v = -25 + 5v + -5v Combine like terms: -5v + -5v = -10v -5 + -10v = -25 + 5v + -5v Combine like terms: 5v + -5v = 0 -5 + -10v = -25 + 0 -5 + -10v = -25 Add '5' to each side of the equation. -5 + 5 + -10v = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -10v = -25 + 5 -10v = -25 + 5 Combine like terms: -25 + 5 = -20 -10v = -20 Divide each side by '-10'. v = 2 Simplifying v = 2
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