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Simplifying -4(v + -6) + 2(-1v + -3) = -6v + -6v Reorder the terms: -4(-6 + v) + 2(-1v + -3) = -6v + -6v (-6 * -4 + v * -4) + 2(-1v + -3) = -6v + -6v (24 + -4v) + 2(-1v + -3) = -6v + -6v Reorder the terms: 24 + -4v + 2(-3 + -1v) = -6v + -6v 24 + -4v + (-3 * 2 + -1v * 2) = -6v + -6v 24 + -4v + (-6 + -2v) = -6v + -6v Reorder the terms: 24 + -6 + -4v + -2v = -6v + -6v Combine like terms: 24 + -6 = 18 18 + -4v + -2v = -6v + -6v Combine like terms: -4v + -2v = -6v 18 + -6v = -6v + -6v Combine like terms: -6v + -6v = -12v 18 + -6v = -12v Solving 18 + -6v = -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. 18 + -6v + 12v = -12v + 12v Combine like terms: -6v + 12v = 6v 18 + 6v = -12v + 12v Combine like terms: -12v + 12v = 0 18 + 6v = 0 Add '-18' to each side of the equation. 18 + -18 + 6v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 0 + -18 6v = 0 + -18 Combine like terms: 0 + -18 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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