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Simplifying -5 = 5(v + 3) + -7v Reorder the terms: -5 = 5(3 + v) + -7v -5 = (3 * 5 + v * 5) + -7v -5 = (15 + 5v) + -7v Combine like terms: 5v + -7v = -2v -5 = 15 + -2v Solving -5 = 15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -5 + 2v = 15 + -2v + 2v Combine like terms: -2v + 2v = 0 -5 + 2v = 15 + 0 -5 + 2v = 15 Add '5' to each side of the equation. -5 + 5 + 2v = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 2v = 15 + 5 2v = 15 + 5 Combine like terms: 15 + 5 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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