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Simplifying 5(v + 1) = 2v + 14 Reorder the terms: 5(1 + v) = 2v + 14 (1 * 5 + v * 5) = 2v + 14 (5 + 5v) = 2v + 14 Reorder the terms: 5 + 5v = 14 + 2v Solving 5 + 5v = 14 + 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. 5 + 5v + -2v = 14 + 2v + -2v Combine like terms: 5v + -2v = 3v 5 + 3v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 5 + 3v = 14 + 0 5 + 3v = 14 Add '-5' to each side of the equation. 5 + -5 + 3v = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 3v = 14 + -5 3v = 14 + -5 Combine like terms: 14 + -5 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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