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Simplifying 3v + -4 + 4(2v + 1) = -4(v + 3) Reorder the terms: 3v + -4 + 4(1 + 2v) = -4(v + 3) 3v + -4 + (1 * 4 + 2v * 4) = -4(v + 3) 3v + -4 + (4 + 8v) = -4(v + 3) Reorder the terms: -4 + 4 + 3v + 8v = -4(v + 3) Combine like terms: -4 + 4 = 0 0 + 3v + 8v = -4(v + 3) 3v + 8v = -4(v + 3) Combine like terms: 3v + 8v = 11v 11v = -4(v + 3) Reorder the terms: 11v = -4(3 + v) 11v = (3 * -4 + v * -4) 11v = (-12 + -4v) Solving 11v = -12 + -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. 11v + 4v = -12 + -4v + 4v Combine like terms: 11v + 4v = 15v 15v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 15v = -12 + 0 15v = -12 Divide each side by '15'. v = -0.8 Simplifying v = -0.8
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