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Simplifying 5v + 10 = 3v + -8 Reorder the terms: 10 + 5v = 3v + -8 Reorder the terms: 10 + 5v = -8 + 3v Solving 10 + 5v = -8 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 10 + 5v + -3v = -8 + 3v + -3v Combine like terms: 5v + -3v = 2v 10 + 2v = -8 + 3v + -3v Combine like terms: 3v + -3v = 0 10 + 2v = -8 + 0 10 + 2v = -8 Add '-10' to each side of the equation. 10 + -10 + 2v = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = -8 + -10 2v = -8 + -10 Combine like terms: -8 + -10 = -18 2v = -18 Divide each side by '2'. v = -9 Simplifying v = -9
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