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Simplifying -7v + 35 = 5(v + -5) Reorder the terms: 35 + -7v = 5(v + -5) Reorder the terms: 35 + -7v = 5(-5 + v) 35 + -7v = (-5 * 5 + v * 5) 35 + -7v = (-25 + 5v) Solving 35 + -7v = -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. 35 + -7v + -5v = -25 + 5v + -5v Combine like terms: -7v + -5v = -12v 35 + -12v = -25 + 5v + -5v Combine like terms: 5v + -5v = 0 35 + -12v = -25 + 0 35 + -12v = -25 Add '-35' to each side of the equation. 35 + -35 + -12v = -25 + -35 Combine like terms: 35 + -35 = 0 0 + -12v = -25 + -35 -12v = -25 + -35 Combine like terms: -25 + -35 = -60 -12v = -60 Divide each side by '-12'. v = 5 Simplifying v = 5
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