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Simplifying v + 20 + 2v + 28 = 7v Reorder the terms: 20 + 28 + v + 2v = 7v Combine like terms: 20 + 28 = 48 48 + v + 2v = 7v Combine like terms: v + 2v = 3v 48 + 3v = 7v Solving 48 + 3v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 48 + 3v + -7v = 7v + -7v Combine like terms: 3v + -7v = -4v 48 + -4v = 7v + -7v Combine like terms: 7v + -7v = 0 48 + -4v = 0 Add '-48' to each side of the equation. 48 + -48 + -4v = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4v = 0 + -48 -4v = 0 + -48 Combine like terms: 0 + -48 = -48 -4v = -48 Divide each side by '-4'. v = 12 Simplifying v = 12
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