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Simplifying 2v + 37 = 9(v + 10) Reorder the terms: 37 + 2v = 9(v + 10) Reorder the terms: 37 + 2v = 9(10 + v) 37 + 2v = (10 * 9 + v * 9) 37 + 2v = (90 + 9v) Solving 37 + 2v = 90 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 37 + 2v + -9v = 90 + 9v + -9v Combine like terms: 2v + -9v = -7v 37 + -7v = 90 + 9v + -9v Combine like terms: 9v + -9v = 0 37 + -7v = 90 + 0 37 + -7v = 90 Add '-37' to each side of the equation. 37 + -37 + -7v = 90 + -37 Combine like terms: 37 + -37 = 0 0 + -7v = 90 + -37 -7v = 90 + -37 Combine like terms: 90 + -37 = 53 -7v = 53 Divide each side by '-7'. v = -7.571428571 Simplifying v = -7.571428571
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