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Simplifying 2v + -5 + 2(2v + 4) = -4(v + 3) Reorder the terms: 2v + -5 + 2(4 + 2v) = -4(v + 3) 2v + -5 + (4 * 2 + 2v * 2) = -4(v + 3) 2v + -5 + (8 + 4v) = -4(v + 3) Reorder the terms: -5 + 8 + 2v + 4v = -4(v + 3) Combine like terms: -5 + 8 = 3 3 + 2v + 4v = -4(v + 3) Combine like terms: 2v + 4v = 6v 3 + 6v = -4(v + 3) Reorder the terms: 3 + 6v = -4(3 + v) 3 + 6v = (3 * -4 + v * -4) 3 + 6v = (-12 + -4v) Solving 3 + 6v = -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. 3 + 6v + 4v = -12 + -4v + 4v Combine like terms: 6v + 4v = 10v 3 + 10v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 3 + 10v = -12 + 0 3 + 10v = -12 Add '-3' to each side of the equation. 3 + -3 + 10v = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 10v = -12 + -3 10v = -12 + -3 Combine like terms: -12 + -3 = -15 10v = -15 Divide each side by '10'. v = -1.5 Simplifying v = -1.5
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