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Simplifying 2(v + -4) = -2(-1 + 3v) Reorder the terms: 2(-4 + v) = -2(-1 + 3v) (-4 * 2 + v * 2) = -2(-1 + 3v) (-8 + 2v) = -2(-1 + 3v) -8 + 2v = (-1 * -2 + 3v * -2) -8 + 2v = (2 + -6v) Solving -8 + 2v = 2 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -8 + 2v + 6v = 2 + -6v + 6v Combine like terms: 2v + 6v = 8v -8 + 8v = 2 + -6v + 6v Combine like terms: -6v + 6v = 0 -8 + 8v = 2 + 0 -8 + 8v = 2 Add '8' to each side of the equation. -8 + 8 + 8v = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 8v = 2 + 8 8v = 2 + 8 Combine like terms: 2 + 8 = 10 8v = 10 Divide each side by '8'. v = 1.25 Simplifying v = 1.25
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