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Simplifying 2(3 + 3v) + -2 = 8v + -12 (3 * 2 + 3v * 2) + -2 = 8v + -12 (6 + 6v) + -2 = 8v + -12 Reorder the terms: 6 + -2 + 6v = 8v + -12 Combine like terms: 6 + -2 = 4 4 + 6v = 8v + -12 Reorder the terms: 4 + 6v = -12 + 8v Solving 4 + 6v = -12 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 4 + 6v + -8v = -12 + 8v + -8v Combine like terms: 6v + -8v = -2v 4 + -2v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 4 + -2v = -12 + 0 4 + -2v = -12 Add '-4' to each side of the equation. 4 + -4 + -2v = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = -12 + -4 -2v = -12 + -4 Combine like terms: -12 + -4 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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