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Simplifying 5(v + 7) = 3v + 37 Reorder the terms: 5(7 + v) = 3v + 37 (7 * 5 + v * 5) = 3v + 37 (35 + 5v) = 3v + 37 Reorder the terms: 35 + 5v = 37 + 3v Solving 35 + 5v = 37 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 35 + 5v + -3v = 37 + 3v + -3v Combine like terms: 5v + -3v = 2v 35 + 2v = 37 + 3v + -3v Combine like terms: 3v + -3v = 0 35 + 2v = 37 + 0 35 + 2v = 37 Add '-35' to each side of the equation. 35 + -35 + 2v = 37 + -35 Combine like terms: 35 + -35 = 0 0 + 2v = 37 + -35 2v = 37 + -35 Combine like terms: 37 + -35 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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