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Simplifying 2(3v + 4) = 8v Reorder the terms: 2(4 + 3v) = 8v (4 * 2 + 3v * 2) = 8v (8 + 6v) = 8v Solving 8 + 6v = 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. 8 + 6v + -8v = 8v + -8v Combine like terms: 6v + -8v = -2v 8 + -2v = 8v + -8v Combine like terms: 8v + -8v = 0 8 + -2v = 0 Add '-8' to each side of the equation. 8 + -8 + -2v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = 0 + -8 -2v = 0 + -8 Combine like terms: 0 + -8 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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