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Simplifying 3(v + 2) + 4 = (v + -1) + v Reorder the terms: 3(2 + v) + 4 = (v + -1) + v (2 * 3 + v * 3) + 4 = (v + -1) + v (6 + 3v) + 4 = (v + -1) + v Reorder the terms: 6 + 4 + 3v = (v + -1) + v Combine like terms: 6 + 4 = 10 10 + 3v = (v + -1) + v Reorder the terms: 10 + 3v = (-1 + v) + v Remove parenthesis around (-1 + v) 10 + 3v = -1 + v + v Combine like terms: v + v = 2v 10 + 3v = -1 + 2v Solving 10 + 3v = -1 + 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. 10 + 3v + -2v = -1 + 2v + -2v Combine like terms: 3v + -2v = 1v 10 + 1v = -1 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + 1v = -1 + 0 10 + 1v = -1 Add '-10' to each side of the equation. 10 + -10 + 1v = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 1v = -1 + -10 1v = -1 + -10 Combine like terms: -1 + -10 = -11 1v = -11 Divide each side by '1'. v = -11 Simplifying v = -11
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