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Simplifying 2(20) + v + 9 = 4v + 20 + 14 Multiply 2 * 20 40 + v + 9 = 4v + 20 + 14 Reorder the terms: 40 + 9 + v = 4v + 20 + 14 Combine like terms: 40 + 9 = 49 49 + v = 4v + 20 + 14 Reorder the terms: 49 + v = 20 + 14 + 4v Combine like terms: 20 + 14 = 34 49 + v = 34 + 4v Solving 49 + v = 34 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 49 + v + -4v = 34 + 4v + -4v Combine like terms: v + -4v = -3v 49 + -3v = 34 + 4v + -4v Combine like terms: 4v + -4v = 0 49 + -3v = 34 + 0 49 + -3v = 34 Add '-49' to each side of the equation. 49 + -49 + -3v = 34 + -49 Combine like terms: 49 + -49 = 0 0 + -3v = 34 + -49 -3v = 34 + -49 Combine like terms: 34 + -49 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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