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Simplifying 37 + 3v = 2(4v + 1) Reorder the terms: 37 + 3v = 2(1 + 4v) 37 + 3v = (1 * 2 + 4v * 2) 37 + 3v = (2 + 8v) Solving 37 + 3v = 2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 37 + 3v + -8v = 2 + 8v + -8v Combine like terms: 3v + -8v = -5v 37 + -5v = 2 + 8v + -8v Combine like terms: 8v + -8v = 0 37 + -5v = 2 + 0 37 + -5v = 2 Add '-37' to each side of the equation. 37 + -37 + -5v = 2 + -37 Combine like terms: 37 + -37 = 0 0 + -5v = 2 + -37 -5v = 2 + -37 Combine like terms: 2 + -37 = -35 -5v = -35 Divide each side by '-5'. v = 7 Simplifying v = 7
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