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Simplifying 35 + 2v = 3(5 + 4v) 35 + 2v = (5 * 3 + 4v * 3) 35 + 2v = (15 + 12v) Solving 35 + 2v = 15 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 35 + 2v + -12v = 15 + 12v + -12v Combine like terms: 2v + -12v = -10v 35 + -10v = 15 + 12v + -12v Combine like terms: 12v + -12v = 0 35 + -10v = 15 + 0 35 + -10v = 15 Add '-35' to each side of the equation. 35 + -35 + -10v = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -10v = 15 + -35 -10v = 15 + -35 Combine like terms: 15 + -35 = -20 -10v = -20 Divide each side by '-10'. v = 2 Simplifying v = 2
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