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Simplifying 7 + 4v = v + -8 Reorder the terms: 7 + 4v = -8 + v Solving 7 + 4v = -8 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 7 + 4v + -1v = -8 + v + -1v Combine like terms: 4v + -1v = 3v 7 + 3v = -8 + v + -1v Combine like terms: v + -1v = 0 7 + 3v = -8 + 0 7 + 3v = -8 Add '-7' to each side of the equation. 7 + -7 + 3v = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 3v = -8 + -7 3v = -8 + -7 Combine like terms: -8 + -7 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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