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Simplifying 6 + -1(2v + 5) = -3(v + -5) + -4 Reorder the terms: 6 + -1(5 + 2v) = -3(v + -5) + -4 6 + (5 * -1 + 2v * -1) = -3(v + -5) + -4 6 + (-5 + -2v) = -3(v + -5) + -4 Combine like terms: 6 + -5 = 1 1 + -2v = -3(v + -5) + -4 Reorder the terms: 1 + -2v = -3(-5 + v) + -4 1 + -2v = (-5 * -3 + v * -3) + -4 1 + -2v = (15 + -3v) + -4 Reorder the terms: 1 + -2v = 15 + -4 + -3v Combine like terms: 15 + -4 = 11 1 + -2v = 11 + -3v Solving 1 + -2v = 11 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 1 + -2v + 3v = 11 + -3v + 3v Combine like terms: -2v + 3v = 1v 1 + 1v = 11 + -3v + 3v Combine like terms: -3v + 3v = 0 1 + 1v = 11 + 0 1 + 1v = 11 Add '-1' to each side of the equation. 1 + -1 + 1v = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 1v = 11 + -1 1v = 11 + -1 Combine like terms: 11 + -1 = 10 1v = 10 Divide each side by '1'. v = 10 Simplifying v = 10
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