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