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Simplifying 4v + 2 + -3(-2v + -2) = 4(v + -2) Reorder the terms: 4v + 2 + -3(-2 + -2v) = 4(v + -2) 4v + 2 + (-2 * -3 + -2v * -3) = 4(v + -2) 4v + 2 + (6 + 6v) = 4(v + -2) Reorder the terms: 2 + 6 + 4v + 6v = 4(v + -2) Combine like terms: 2 + 6 = 8 8 + 4v + 6v = 4(v + -2) Combine like terms: 4v + 6v = 10v 8 + 10v = 4(v + -2) Reorder the terms: 8 + 10v = 4(-2 + v) 8 + 10v = (-2 * 4 + v * 4) 8 + 10v = (-8 + 4v) Solving 8 + 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. 8 + 10v + -4v = -8 + 4v + -4v Combine like terms: 10v + -4v = 6v 8 + 6v = -8 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + 6v = -8 + 0 8 + 6v = -8 Add '-8' to each side of the equation. 8 + -8 + 6v = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = -8 + -8 6v = -8 + -8 Combine like terms: -8 + -8 = -16 6v = -16 Divide each side by '6'. v = -2.666666667 Simplifying v = -2.666666667
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