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Simplifying 2v + 1 = -3v + 8v + 10 Reorder the terms: 1 + 2v = -3v + 8v + 10 Reorder the terms: 1 + 2v = 10 + -3v + 8v Combine like terms: -3v + 8v = 5v 1 + 2v = 10 + 5v Solving 1 + 2v = 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. 1 + 2v + -5v = 10 + 5v + -5v Combine like terms: 2v + -5v = -3v 1 + -3v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 1 + -3v = 10 + 0 1 + -3v = 10 Add '-1' to each side of the equation. 1 + -1 + -3v = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = 10 + -1 -3v = 10 + -1 Combine like terms: 10 + -1 = 9 -3v = 9 Divide each side by '-3'. v = -3 Simplifying v = -3
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