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Simplifying 5v + 7(v + 5) = 83 Reorder the terms: 5v + 7(5 + v) = 83 5v + (5 * 7 + v * 7) = 83 5v + (35 + 7v) = 83 Reorder the terms: 35 + 5v + 7v = 83 Combine like terms: 5v + 7v = 12v 35 + 12v = 83 Solving 35 + 12v = 83 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 12v = 83 + -35 Combine like terms: 35 + -35 = 0 0 + 12v = 83 + -35 12v = 83 + -35 Combine like terms: 83 + -35 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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