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Simplifying 4v + -4 + 4(2v + 1) = -3(v + 2) Reorder the terms: 4v + -4 + 4(1 + 2v) = -3(v + 2) 4v + -4 + (1 * 4 + 2v * 4) = -3(v + 2) 4v + -4 + (4 + 8v) = -3(v + 2) Reorder the terms: -4 + 4 + 4v + 8v = -3(v + 2) Combine like terms: -4 + 4 = 0 0 + 4v + 8v = -3(v + 2) 4v + 8v = -3(v + 2) Combine like terms: 4v + 8v = 12v 12v = -3(v + 2) Reorder the terms: 12v = -3(2 + v) 12v = (2 * -3 + v * -3) 12v = (-6 + -3v) Solving 12v = -6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 12v + 3v = -6 + -3v + 3v Combine like terms: 12v + 3v = 15v 15v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 15v = -6 + 0 15v = -6 Divide each side by '15'. v = -0.4 Simplifying v = -0.4
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