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Simplifying 5 = 7(v + -5) + -3v Reorder the terms: 5 = 7(-5 + v) + -3v 5 = (-5 * 7 + v * 7) + -3v 5 = (-35 + 7v) + -3v Combine like terms: 7v + -3v = 4v 5 = -35 + 4v Solving 5 = -35 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 5 + -4v = -35 + 4v + -4v Combine like terms: 4v + -4v = 0 5 + -4v = -35 + 0 5 + -4v = -35 Add '-5' to each side of the equation. 5 + -5 + -4v = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = -35 + -5 -4v = -35 + -5 Combine like terms: -35 + -5 = -40 -4v = -40 Divide each side by '-4'. v = 10 Simplifying v = 10
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