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Simplifying -1v + 7 + 4v = 6 + 5v + 4 Reorder the terms: 7 + -1v + 4v = 6 + 5v + 4 Combine like terms: -1v + 4v = 3v 7 + 3v = 6 + 5v + 4 Reorder the terms: 7 + 3v = 6 + 4 + 5v Combine like terms: 6 + 4 = 10 7 + 3v = 10 + 5v Solving 7 + 3v = 10 + 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. 7 + 3v + -5v = 10 + 5v + -5v Combine like terms: 3v + -5v = -2v 7 + -2v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + -2v = 10 + 0 7 + -2v = 10 Add '-7' to each side of the equation. 7 + -7 + -2v = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 10 + -7 -2v = 10 + -7 Combine like terms: 10 + -7 = 3 -2v = 3 Divide each side by '-2'. v = -1.5 Simplifying v = -1.5
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