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Simplifying 7 = 3(v + 7) + -5v Reorder the terms: 7 = 3(7 + v) + -5v 7 = (7 * 3 + v * 3) + -5v 7 = (21 + 3v) + -5v Combine like terms: 3v + -5v = -2v 7 = 21 + -2v Solving 7 = 21 + -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. 7 + 2v = 21 + -2v + 2v Combine like terms: -2v + 2v = 0 7 + 2v = 21 + 0 7 + 2v = 21 Add '-7' to each side of the equation. 7 + -7 + 2v = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 21 + -7 2v = 21 + -7 Combine like terms: 21 + -7 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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