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Simplifying -2(v + 2) = 2v + -4 + 2(3v + 1) Reorder the terms: -2(2 + v) = 2v + -4 + 2(3v + 1) (2 * -2 + v * -2) = 2v + -4 + 2(3v + 1) (-4 + -2v) = 2v + -4 + 2(3v + 1) Reorder the terms: -4 + -2v = 2v + -4 + 2(1 + 3v) -4 + -2v = 2v + -4 + (1 * 2 + 3v * 2) -4 + -2v = 2v + -4 + (2 + 6v) Reorder the terms: -4 + -2v = -4 + 2 + 2v + 6v Combine like terms: -4 + 2 = -2 -4 + -2v = -2 + 2v + 6v Combine like terms: 2v + 6v = 8v -4 + -2v = -2 + 8v Solving -4 + -2v = -2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -4 + -2v + -8v = -2 + 8v + -8v Combine like terms: -2v + -8v = -10v -4 + -10v = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 -4 + -10v = -2 + 0 -4 + -10v = -2 Add '4' to each side of the equation. -4 + 4 + -10v = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -10v = -2 + 4 -10v = -2 + 4 Combine like terms: -2 + 4 = 2 -10v = 2 Divide each side by '-10'. v = -0.2 Simplifying v = -0.2
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