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Simplifying 4(3v + 5) = 2(3v + 4) Reorder the terms: 4(5 + 3v) = 2(3v + 4) (5 * 4 + 3v * 4) = 2(3v + 4) (20 + 12v) = 2(3v + 4) Reorder the terms: 20 + 12v = 2(4 + 3v) 20 + 12v = (4 * 2 + 3v * 2) 20 + 12v = (8 + 6v) Solving 20 + 12v = 8 + 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. 20 + 12v + -6v = 8 + 6v + -6v Combine like terms: 12v + -6v = 6v 20 + 6v = 8 + 6v + -6v Combine like terms: 6v + -6v = 0 20 + 6v = 8 + 0 20 + 6v = 8 Add '-20' to each side of the equation. 20 + -20 + 6v = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 6v = 8 + -20 6v = 8 + -20 Combine like terms: 8 + -20 = -12 6v = -12 Divide each side by '6'. v = -2 Simplifying v = -2
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