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Simplifying 3(6v + 6) = 3(2v + -2) Reorder the terms: 3(6 + 6v) = 3(2v + -2) (6 * 3 + 6v * 3) = 3(2v + -2) (18 + 18v) = 3(2v + -2) Reorder the terms: 18 + 18v = 3(-2 + 2v) 18 + 18v = (-2 * 3 + 2v * 3) 18 + 18v = (-6 + 6v) Solving 18 + 18v = -6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 18 + 18v + -6v = -6 + 6v + -6v Combine like terms: 18v + -6v = 12v 18 + 12v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 18 + 12v = -6 + 0 18 + 12v = -6 Add '-18' to each side of the equation. 18 + -18 + 12v = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 12v = -6 + -18 12v = -6 + -18 Combine like terms: -6 + -18 = -24 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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