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Simplifying (7v + 3) = 5(v + 7) Reorder the terms: (3 + 7v) = 5(v + 7) Remove parenthesis around (3 + 7v) 3 + 7v = 5(v + 7) Reorder the terms: 3 + 7v = 5(7 + v) 3 + 7v = (7 * 5 + v * 5) 3 + 7v = (35 + 5v) Solving 3 + 7v = 35 + 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 = 35 + 5v + -5v Combine like terms: 7v + -5v = 2v 3 + 2v = 35 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + 2v = 35 + 0 3 + 2v = 35 Add '-3' to each side of the equation. 3 + -3 + 2v = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = 35 + -3 2v = 35 + -3 Combine like terms: 35 + -3 = 32 2v = 32 Divide each side by '2'. v = 16 Simplifying v = 16
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