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Simplifying 2 + 4(3v + -3) = -4(3v + -1) + 8v Reorder the terms: 2 + 4(-3 + 3v) = -4(3v + -1) + 8v 2 + (-3 * 4 + 3v * 4) = -4(3v + -1) + 8v 2 + (-12 + 12v) = -4(3v + -1) + 8v Combine like terms: 2 + -12 = -10 -10 + 12v = -4(3v + -1) + 8v Reorder the terms: -10 + 12v = -4(-1 + 3v) + 8v -10 + 12v = (-1 * -4 + 3v * -4) + 8v -10 + 12v = (4 + -12v) + 8v Combine like terms: -12v + 8v = -4v -10 + 12v = 4 + -4v Solving -10 + 12v = 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. -10 + 12v + 4v = 4 + -4v + 4v Combine like terms: 12v + 4v = 16v -10 + 16v = 4 + -4v + 4v Combine like terms: -4v + 4v = 0 -10 + 16v = 4 + 0 -10 + 16v = 4 Add '10' to each side of the equation. -10 + 10 + 16v = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 16v = 4 + 10 16v = 4 + 10 Combine like terms: 4 + 10 = 14 16v = 14 Divide each side by '16'. v = 0.875 Simplifying v = 0.875
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