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Simplifying 4 + 4(2v + -3) = -2(3v + -5) + 2v Reorder the terms: 4 + 4(-3 + 2v) = -2(3v + -5) + 2v 4 + (-3 * 4 + 2v * 4) = -2(3v + -5) + 2v 4 + (-12 + 8v) = -2(3v + -5) + 2v Combine like terms: 4 + -12 = -8 -8 + 8v = -2(3v + -5) + 2v Reorder the terms: -8 + 8v = -2(-5 + 3v) + 2v -8 + 8v = (-5 * -2 + 3v * -2) + 2v -8 + 8v = (10 + -6v) + 2v Combine like terms: -6v + 2v = -4v -8 + 8v = 10 + -4v Solving -8 + 8v = 10 + -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. -8 + 8v + 4v = 10 + -4v + 4v Combine like terms: 8v + 4v = 12v -8 + 12v = 10 + -4v + 4v Combine like terms: -4v + 4v = 0 -8 + 12v = 10 + 0 -8 + 12v = 10 Add '8' to each side of the equation. -8 + 8 + 12v = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 12v = 10 + 8 12v = 10 + 8 Combine like terms: 10 + 8 = 18 12v = 18 Divide each side by '12'. v = 1.5 Simplifying v = 1.5
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