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Simplifying v + 3 = 7 + 3v + 3 + -1v Reorder the terms: 3 + v = 7 + 3v + 3 + -1v Reorder the terms: 3 + v = 7 + 3 + 3v + -1v Combine like terms: 7 + 3 = 10 3 + v = 10 + 3v + -1v Combine like terms: 3v + -1v = 2v 3 + v = 10 + 2v Solving 3 + v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 3 + v + -2v = 10 + 2v + -2v Combine like terms: v + -2v = -1v 3 + -1v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 3 + -1v = 10 + 0 3 + -1v = 10 Add '-3' to each side of the equation. 3 + -3 + -1v = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 10 + -3 -1v = 10 + -3 Combine like terms: 10 + -3 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7
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