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Simplifying 6v + 4 + -3(-4v + -2) = 4(v + -2) Reorder the terms: 6v + 4 + -3(-2 + -4v) = 4(v + -2) 6v + 4 + (-2 * -3 + -4v * -3) = 4(v + -2) 6v + 4 + (6 + 12v) = 4(v + -2) Reorder the terms: 4 + 6 + 6v + 12v = 4(v + -2) Combine like terms: 4 + 6 = 10 10 + 6v + 12v = 4(v + -2) Combine like terms: 6v + 12v = 18v 10 + 18v = 4(v + -2) Reorder the terms: 10 + 18v = 4(-2 + v) 10 + 18v = (-2 * 4 + v * 4) 10 + 18v = (-8 + 4v) Solving 10 + 18v = -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. 10 + 18v + -4v = -8 + 4v + -4v Combine like terms: 18v + -4v = 14v 10 + 14v = -8 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + 14v = -8 + 0 10 + 14v = -8 Add '-10' to each side of the equation. 10 + -10 + 14v = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 14v = -8 + -10 14v = -8 + -10 Combine like terms: -8 + -10 = -18 14v = -18 Divide each side by '14'. v = -1.285714286 Simplifying v = -1.285714286
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