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Simplifying 1.5(6v + 2) = 5(v + 3) Reorder the terms: 1.5(2 + 6v) = 5(v + 3) (2 * 1.5 + 6v * 1.5) = 5(v + 3) (3 + 9v) = 5(v + 3) Reorder the terms: 3 + 9v = 5(3 + v) 3 + 9v = (3 * 5 + v * 5) 3 + 9v = (15 + 5v) Solving 3 + 9v = 15 + 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. 3 + 9v + -5v = 15 + 5v + -5v Combine like terms: 9v + -5v = 4v 3 + 4v = 15 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + 4v = 15 + 0 3 + 4v = 15 Add '-3' to each side of the equation. 3 + -3 + 4v = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4v = 15 + -3 4v = 15 + -3 Combine like terms: 15 + -3 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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