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Simplifying -2(v + 4) = 6v + -8 + 2(2v + 3) Reorder the terms: -2(4 + v) = 6v + -8 + 2(2v + 3) (4 * -2 + v * -2) = 6v + -8 + 2(2v + 3) (-8 + -2v) = 6v + -8 + 2(2v + 3) Reorder the terms: -8 + -2v = 6v + -8 + 2(3 + 2v) -8 + -2v = 6v + -8 + (3 * 2 + 2v * 2) -8 + -2v = 6v + -8 + (6 + 4v) Reorder the terms: -8 + -2v = -8 + 6 + 6v + 4v Combine like terms: -8 + 6 = -2 -8 + -2v = -2 + 6v + 4v Combine like terms: 6v + 4v = 10v -8 + -2v = -2 + 10v Solving -8 + -2v = -2 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -8 + -2v + -10v = -2 + 10v + -10v Combine like terms: -2v + -10v = -12v -8 + -12v = -2 + 10v + -10v Combine like terms: 10v + -10v = 0 -8 + -12v = -2 + 0 -8 + -12v = -2 Add '8' to each side of the equation. -8 + 8 + -12v = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -12v = -2 + 8 -12v = -2 + 8 Combine like terms: -2 + 8 = 6 -12v = 6 Divide each side by '-12'. v = -0.5 Simplifying v = -0.5
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