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Simplifying 7v + 10 = 8v + v Reorder the terms: 10 + 7v = 8v + v Combine like terms: 8v + v = 9v 10 + 7v = 9v Solving 10 + 7v = 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 10 + 7v + -9v = 9v + -9v Combine like terms: 7v + -9v = -2v 10 + -2v = 9v + -9v Combine like terms: 9v + -9v = 0 10 + -2v = 0 Add '-10' to each side of the equation. 10 + -10 + -2v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2v = 0 + -10 -2v = 0 + -10 Combine like terms: 0 + -10 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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