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Simplifying -1v + 4(1 + -2v) = -5 + -6v -1v + (1 * 4 + -2v * 4) = -5 + -6v -1v + (4 + -8v) = -5 + -6v Reorder the terms: 4 + -1v + -8v = -5 + -6v Combine like terms: -1v + -8v = -9v 4 + -9v = -5 + -6v Solving 4 + -9v = -5 + -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. 4 + -9v + 6v = -5 + -6v + 6v Combine like terms: -9v + 6v = -3v 4 + -3v = -5 + -6v + 6v Combine like terms: -6v + 6v = 0 4 + -3v = -5 + 0 4 + -3v = -5 Add '-4' to each side of the equation. 4 + -4 + -3v = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = -5 + -4 -3v = -5 + -4 Combine like terms: -5 + -4 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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