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Simplifying 2(v + -10) + 6(-1v + -4) = 6v + -12v Reorder the terms: 2(-10 + v) + 6(-1v + -4) = 6v + -12v (-10 * 2 + v * 2) + 6(-1v + -4) = 6v + -12v (-20 + 2v) + 6(-1v + -4) = 6v + -12v Reorder the terms: -20 + 2v + 6(-4 + -1v) = 6v + -12v -20 + 2v + (-4 * 6 + -1v * 6) = 6v + -12v -20 + 2v + (-24 + -6v) = 6v + -12v Reorder the terms: -20 + -24 + 2v + -6v = 6v + -12v Combine like terms: -20 + -24 = -44 -44 + 2v + -6v = 6v + -12v Combine like terms: 2v + -6v = -4v -44 + -4v = 6v + -12v Combine like terms: 6v + -12v = -6v -44 + -4v = -6v Solving -44 + -4v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -44 + -4v + 6v = -6v + 6v Combine like terms: -4v + 6v = 2v -44 + 2v = -6v + 6v Combine like terms: -6v + 6v = 0 -44 + 2v = 0 Add '44' to each side of the equation. -44 + 44 + 2v = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 2v = 0 + 44 2v = 0 + 44 Combine like terms: 0 + 44 = 44 2v = 44 Divide each side by '2'. v = 22 Simplifying v = 22
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