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Simplifying -3v + (6v + 7) = 36 + 2v Reorder the terms: -3v + (7 + 6v) = 36 + 2v Remove parenthesis around (7 + 6v) -3v + 7 + 6v = 36 + 2v Reorder the terms: 7 + -3v + 6v = 36 + 2v Combine like terms: -3v + 6v = 3v 7 + 3v = 36 + 2v Solving 7 + 3v = 36 + 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 + 3v + -2v = 36 + 2v + -2v Combine like terms: 3v + -2v = 1v 7 + 1v = 36 + 2v + -2v Combine like terms: 2v + -2v = 0 7 + 1v = 36 + 0 7 + 1v = 36 Add '-7' to each side of the equation. 7 + -7 + 1v = 36 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = 36 + -7 1v = 36 + -7 Combine like terms: 36 + -7 = 29 1v = 29 Divide each side by '1'. v = 29 Simplifying v = 29
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