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Simplifying 6(v + -3) = 4v + -4 Reorder the terms: 6(-3 + v) = 4v + -4 (-3 * 6 + v * 6) = 4v + -4 (-18 + 6v) = 4v + -4 Reorder the terms: -18 + 6v = -4 + 4v Solving -18 + 6v = -4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -18 + 6v + -4v = -4 + 4v + -4v Combine like terms: 6v + -4v = 2v -18 + 2v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 -18 + 2v = -4 + 0 -18 + 2v = -4 Add '18' to each side of the equation. -18 + 18 + 2v = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 2v = -4 + 18 2v = -4 + 18 Combine like terms: -4 + 18 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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