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