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Simplifying 9v + 37 = 2(v + 8) Reorder the terms: 37 + 9v = 2(v + 8) Reorder the terms: 37 + 9v = 2(8 + v) 37 + 9v = (8 * 2 + v * 2) 37 + 9v = (16 + 2v) Solving 37 + 9v = 16 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 37 + 9v + -2v = 16 + 2v + -2v Combine like terms: 9v + -2v = 7v 37 + 7v = 16 + 2v + -2v Combine like terms: 2v + -2v = 0 37 + 7v = 16 + 0 37 + 7v = 16 Add '-37' to each side of the equation. 37 + -37 + 7v = 16 + -37 Combine like terms: 37 + -37 = 0 0 + 7v = 16 + -37 7v = 16 + -37 Combine like terms: 16 + -37 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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