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