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Simplifying 37 + 8v = 5(4v + 5) Reorder the terms: 37 + 8v = 5(5 + 4v) 37 + 8v = (5 * 5 + 4v * 5) 37 + 8v = (25 + 20v) Solving 37 + 8v = 25 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 37 + 8v + -20v = 25 + 20v + -20v Combine like terms: 8v + -20v = -12v 37 + -12v = 25 + 20v + -20v Combine like terms: 20v + -20v = 0 37 + -12v = 25 + 0 37 + -12v = 25 Add '-37' to each side of the equation. 37 + -37 + -12v = 25 + -37 Combine like terms: 37 + -37 = 0 0 + -12v = 25 + -37 -12v = 25 + -37 Combine like terms: 25 + -37 = -12 -12v = -12 Divide each side by '-12'. v = 1 Simplifying v = 1
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