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