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Simplifying 2(3v + 1) = 5(v + 2) Reorder the terms: 2(1 + 3v) = 5(v + 2) (1 * 2 + 3v * 2) = 5(v + 2) (2 + 6v) = 5(v + 2) Reorder the terms: 2 + 6v = 5(2 + v) 2 + 6v = (2 * 5 + v * 5) 2 + 6v = (10 + 5v) Solving 2 + 6v = 10 + 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. 2 + 6v + -5v = 10 + 5v + -5v Combine like terms: 6v + -5v = 1v 2 + 1v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 2 + 1v = 10 + 0 2 + 1v = 10 Add '-2' to each side of the equation. 2 + -2 + 1v = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1v = 10 + -2 1v = 10 + -2 Combine like terms: 10 + -2 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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