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Simplifying 10 + -2v + -4v + 3 = 5v + 2 Reorder the terms: 10 + 3 + -2v + -4v = 5v + 2 Combine like terms: 10 + 3 = 13 13 + -2v + -4v = 5v + 2 Combine like terms: -2v + -4v = -6v 13 + -6v = 5v + 2 Reorder the terms: 13 + -6v = 2 + 5v Solving 13 + -6v = 2 + 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. 13 + -6v + -5v = 2 + 5v + -5v Combine like terms: -6v + -5v = -11v 13 + -11v = 2 + 5v + -5v Combine like terms: 5v + -5v = 0 13 + -11v = 2 + 0 13 + -11v = 2 Add '-13' to each side of the equation. 13 + -13 + -11v = 2 + -13 Combine like terms: 13 + -13 = 0 0 + -11v = 2 + -13 -11v = 2 + -13 Combine like terms: 2 + -13 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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