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Simplifying 4v + -8 + 3(2v + 2) = -4(v + 2) Reorder the terms: 4v + -8 + 3(2 + 2v) = -4(v + 2) 4v + -8 + (2 * 3 + 2v * 3) = -4(v + 2) 4v + -8 + (6 + 6v) = -4(v + 2) Reorder the terms: -8 + 6 + 4v + 6v = -4(v + 2) Combine like terms: -8 + 6 = -2 -2 + 4v + 6v = -4(v + 2) Combine like terms: 4v + 6v = 10v -2 + 10v = -4(v + 2) Reorder the terms: -2 + 10v = -4(2 + v) -2 + 10v = (2 * -4 + v * -4) -2 + 10v = (-8 + -4v) Solving -2 + 10v = -8 + -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. -2 + 10v + 4v = -8 + -4v + 4v Combine like terms: 10v + 4v = 14v -2 + 14v = -8 + -4v + 4v Combine like terms: -4v + 4v = 0 -2 + 14v = -8 + 0 -2 + 14v = -8 Add '2' to each side of the equation. -2 + 2 + 14v = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 14v = -8 + 2 14v = -8 + 2 Combine like terms: -8 + 2 = -6 14v = -6 Divide each side by '14'. v = -0.4285714286 Simplifying v = -0.4285714286
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