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Simplifying 2v + 10 = 3v + -5 Reorder the terms: 10 + 2v = 3v + -5 Reorder the terms: 10 + 2v = -5 + 3v Solving 10 + 2v = -5 + 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 + 2v + -3v = -5 + 3v + -3v Combine like terms: 2v + -3v = -1v 10 + -1v = -5 + 3v + -3v Combine like terms: 3v + -3v = 0 10 + -1v = -5 + 0 10 + -1v = -5 Add '-10' to each side of the equation. 10 + -10 + -1v = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = -5 + -10 -1v = -5 + -10 Combine like terms: -5 + -10 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15
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