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Simplifying 4v + 8 + -2(-3v + -1) = 4(v + -1) Reorder the terms: 4v + 8 + -2(-1 + -3v) = 4(v + -1) 4v + 8 + (-1 * -2 + -3v * -2) = 4(v + -1) 4v + 8 + (2 + 6v) = 4(v + -1) Reorder the terms: 8 + 2 + 4v + 6v = 4(v + -1) Combine like terms: 8 + 2 = 10 10 + 4v + 6v = 4(v + -1) Combine like terms: 4v + 6v = 10v 10 + 10v = 4(v + -1) Reorder the terms: 10 + 10v = 4(-1 + v) 10 + 10v = (-1 * 4 + v * 4) 10 + 10v = (-4 + 4v) Solving 10 + 10v = -4 + 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. 10 + 10v + -4v = -4 + 4v + -4v Combine like terms: 10v + -4v = 6v 10 + 6v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + 6v = -4 + 0 10 + 6v = -4 Add '-10' to each side of the equation. 10 + -10 + 6v = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 6v = -4 + -10 6v = -4 + -10 Combine like terms: -4 + -10 = -14 6v = -14 Divide each side by '6'. v = -2.333333333 Simplifying v = -2.333333333
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