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Simplifying -2(6v + -4) + 2(1 + 2v) = 4 + -6v + v Reorder the terms: -2(-4 + 6v) + 2(1 + 2v) = 4 + -6v + v (-4 * -2 + 6v * -2) + 2(1 + 2v) = 4 + -6v + v (8 + -12v) + 2(1 + 2v) = 4 + -6v + v 8 + -12v + (1 * 2 + 2v * 2) = 4 + -6v + v 8 + -12v + (2 + 4v) = 4 + -6v + v Reorder the terms: 8 + 2 + -12v + 4v = 4 + -6v + v Combine like terms: 8 + 2 = 10 10 + -12v + 4v = 4 + -6v + v Combine like terms: -12v + 4v = -8v 10 + -8v = 4 + -6v + v Combine like terms: -6v + v = -5v 10 + -8v = 4 + -5v Solving 10 + -8v = 4 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 10 + -8v + 5v = 4 + -5v + 5v Combine like terms: -8v + 5v = -3v 10 + -3v = 4 + -5v + 5v Combine like terms: -5v + 5v = 0 10 + -3v = 4 + 0 10 + -3v = 4 Add '-10' to each side of the equation. 10 + -10 + -3v = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -3v = 4 + -10 -3v = 4 + -10 Combine like terms: 4 + -10 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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