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Simplifying 3(v + 2) + 2v = (v + -1) + 9 Reorder the terms: 3(2 + v) + 2v = (v + -1) + 9 (2 * 3 + v * 3) + 2v = (v + -1) + 9 (6 + 3v) + 2v = (v + -1) + 9 Combine like terms: 3v + 2v = 5v 6 + 5v = (v + -1) + 9 Reorder the terms: 6 + 5v = (-1 + v) + 9 Remove parenthesis around (-1 + v) 6 + 5v = -1 + v + 9 Reorder the terms: 6 + 5v = -1 + 9 + v Combine like terms: -1 + 9 = 8 6 + 5v = 8 + v Solving 6 + 5v = 8 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 6 + 5v + -1v = 8 + v + -1v Combine like terms: 5v + -1v = 4v 6 + 4v = 8 + v + -1v Combine like terms: v + -1v = 0 6 + 4v = 8 + 0 6 + 4v = 8 Add '-6' to each side of the equation. 6 + -6 + 4v = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4v = 8 + -6 4v = 8 + -6 Combine like terms: 8 + -6 = 2 4v = 2 Divide each side by '4'. v = 0.5 Simplifying v = 0.5
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