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Simplifying -5v + 7(v + 5) = 37 Reorder the terms: -5v + 7(5 + v) = 37 -5v + (5 * 7 + v * 7) = 37 -5v + (35 + 7v) = 37 Reorder the terms: 35 + -5v + 7v = 37 Combine like terms: -5v + 7v = 2v 35 + 2v = 37 Solving 35 + 2v = 37 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 + 2v = 37 + -35 Combine like terms: 35 + -35 = 0 0 + 2v = 37 + -35 2v = 37 + -35 Combine like terms: 37 + -35 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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