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Simplifying 7v + -31 = 3(2 + -4v) Reorder the terms: -31 + 7v = 3(2 + -4v) -31 + 7v = (2 * 3 + -4v * 3) -31 + 7v = (6 + -12v) Solving -31 + 7v = 6 + -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. -31 + 7v + 12v = 6 + -12v + 12v Combine like terms: 7v + 12v = 19v -31 + 19v = 6 + -12v + 12v Combine like terms: -12v + 12v = 0 -31 + 19v = 6 + 0 -31 + 19v = 6 Add '31' to each side of the equation. -31 + 31 + 19v = 6 + 31 Combine like terms: -31 + 31 = 0 0 + 19v = 6 + 31 19v = 6 + 31 Combine like terms: 6 + 31 = 37 19v = 37 Divide each side by '19'. v = 1.947368421 Simplifying v = 1.947368421
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