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Simplifying 3 + 4(3v + -1) = -2(5v + -4) + 4v Reorder the terms: 3 + 4(-1 + 3v) = -2(5v + -4) + 4v 3 + (-1 * 4 + 3v * 4) = -2(5v + -4) + 4v 3 + (-4 + 12v) = -2(5v + -4) + 4v Combine like terms: 3 + -4 = -1 -1 + 12v = -2(5v + -4) + 4v Reorder the terms: -1 + 12v = -2(-4 + 5v) + 4v -1 + 12v = (-4 * -2 + 5v * -2) + 4v -1 + 12v = (8 + -10v) + 4v Combine like terms: -10v + 4v = -6v -1 + 12v = 8 + -6v Solving -1 + 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. -1 + 12v + 6v = 8 + -6v + 6v Combine like terms: 12v + 6v = 18v -1 + 18v = 8 + -6v + 6v Combine like terms: -6v + 6v = 0 -1 + 18v = 8 + 0 -1 + 18v = 8 Add '1' to each side of the equation. -1 + 1 + 18v = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 18v = 8 + 1 18v = 8 + 1 Combine like terms: 8 + 1 = 9 18v = 9 Divide each side by '18'. v = 0.5 Simplifying v = 0.5
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