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Simplifying -1(4 + -1v) + 2(v + -1) = 5 (4 * -1 + -1v * -1) + 2(v + -1) = 5 (-4 + 1v) + 2(v + -1) = 5 Reorder the terms: -4 + 1v + 2(-1 + v) = 5 -4 + 1v + (-1 * 2 + v * 2) = 5 -4 + 1v + (-2 + 2v) = 5 Reorder the terms: -4 + -2 + 1v + 2v = 5 Combine like terms: -4 + -2 = -6 -6 + 1v + 2v = 5 Combine like terms: 1v + 2v = 3v -6 + 3v = 5 Solving -6 + 3v = 5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3v = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 3v = 5 + 6 3v = 5 + 6 Combine like terms: 5 + 6 = 11 3v = 11 Divide each side by '3'. v = 3.666666667 Simplifying v = 3.666666667
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