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Simplifying -8v + 5 = 4v + -7 Reorder the terms: 5 + -8v = 4v + -7 Reorder the terms: 5 + -8v = -7 + 4v Solving 5 + -8v = -7 + 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 + -8v + -4v = -7 + 4v + -4v Combine like terms: -8v + -4v = -12v 5 + -12v = -7 + 4v + -4v Combine like terms: 4v + -4v = 0 5 + -12v = -7 + 0 5 + -12v = -7 Add '-5' to each side of the equation. 5 + -5 + -12v = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -12v = -7 + -5 -12v = -7 + -5 Combine like terms: -7 + -5 = -12 -12v = -12 Divide each side by '-12'. v = 1 Simplifying v = 1
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