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Simplifying v + -9 + 3(2v + 4) = 5(v + 1) Reorder the terms: v + -9 + 3(4 + 2v) = 5(v + 1) v + -9 + (4 * 3 + 2v * 3) = 5(v + 1) v + -9 + (12 + 6v) = 5(v + 1) Reorder the terms: -9 + 12 + v + 6v = 5(v + 1) Combine like terms: -9 + 12 = 3 3 + v + 6v = 5(v + 1) Combine like terms: v + 6v = 7v 3 + 7v = 5(v + 1) Reorder the terms: 3 + 7v = 5(1 + v) 3 + 7v = (1 * 5 + v * 5) 3 + 7v = (5 + 5v) Solving 3 + 7v = 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. 3 + 7v + -5v = 5 + 5v + -5v Combine like terms: 7v + -5v = 2v 3 + 2v = 5 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + 2v = 5 + 0 3 + 2v = 5 Add '-3' to each side of the equation. 3 + -3 + 2v = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = 5 + -3 2v = 5 + -3 Combine like terms: 5 + -3 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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