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Simplifying -2(3v + -4) + 6v = 4 + 3(4v + -2) Reorder the terms: -2(-4 + 3v) + 6v = 4 + 3(4v + -2) (-4 * -2 + 3v * -2) + 6v = 4 + 3(4v + -2) (8 + -6v) + 6v = 4 + 3(4v + -2) Combine like terms: -6v + 6v = 0 8 + 0 = 4 + 3(4v + -2) 8 = 4 + 3(4v + -2) Reorder the terms: 8 = 4 + 3(-2 + 4v) 8 = 4 + (-2 * 3 + 4v * 3) 8 = 4 + (-6 + 12v) Combine like terms: 4 + -6 = -2 8 = -2 + 12v Solving 8 = -2 + 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. 8 + -12v = -2 + 12v + -12v Combine like terms: 12v + -12v = 0 8 + -12v = -2 + 0 8 + -12v = -2 Add '-8' to each side of the equation. 8 + -8 + -12v = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -12v = -2 + -8 -12v = -2 + -8 Combine like terms: -2 + -8 = -10 -12v = -10 Divide each side by '-12'. v = 0.8333333333 Simplifying v = 0.8333333333
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