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Simplifying -6(v + 2) = 2v + -2 + 2(5v + 1) Reorder the terms: -6(2 + v) = 2v + -2 + 2(5v + 1) (2 * -6 + v * -6) = 2v + -2 + 2(5v + 1) (-12 + -6v) = 2v + -2 + 2(5v + 1) Reorder the terms: -12 + -6v = 2v + -2 + 2(1 + 5v) -12 + -6v = 2v + -2 + (1 * 2 + 5v * 2) -12 + -6v = 2v + -2 + (2 + 10v) Reorder the terms: -12 + -6v = -2 + 2 + 2v + 10v Combine like terms: -2 + 2 = 0 -12 + -6v = 0 + 2v + 10v -12 + -6v = 2v + 10v Combine like terms: 2v + 10v = 12v -12 + -6v = 12v Solving -12 + -6v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -12 + -6v + -12v = 12v + -12v Combine like terms: -6v + -12v = -18v -12 + -18v = 12v + -12v Combine like terms: 12v + -12v = 0 -12 + -18v = 0 Add '12' to each side of the equation. -12 + 12 + -18v = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -18v = 0 + 12 -18v = 0 + 12 Combine like terms: 0 + 12 = 12 -18v = 12 Divide each side by '-18'. v = -0.6666666667 Simplifying v = -0.6666666667
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