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Simplifying 6(v + 3) = -4(3v + -4) + 4v Reorder the terms: 6(3 + v) = -4(3v + -4) + 4v (3 * 6 + v * 6) = -4(3v + -4) + 4v (18 + 6v) = -4(3v + -4) + 4v Reorder the terms: 18 + 6v = -4(-4 + 3v) + 4v 18 + 6v = (-4 * -4 + 3v * -4) + 4v 18 + 6v = (16 + -12v) + 4v Combine like terms: -12v + 4v = -8v 18 + 6v = 16 + -8v Solving 18 + 6v = 16 + -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. 18 + 6v + 8v = 16 + -8v + 8v Combine like terms: 6v + 8v = 14v 18 + 14v = 16 + -8v + 8v Combine like terms: -8v + 8v = 0 18 + 14v = 16 + 0 18 + 14v = 16 Add '-18' to each side of the equation. 18 + -18 + 14v = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 14v = 16 + -18 14v = 16 + -18 Combine like terms: 16 + -18 = -2 14v = -2 Divide each side by '14'. v = -0.1428571429 Simplifying v = -0.1428571429
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