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Simplifying -1(v + 6) + 5(2v + -5) = 0 Reorder the terms: -1(6 + v) + 5(2v + -5) = 0 (6 * -1 + v * -1) + 5(2v + -5) = 0 (-6 + -1v) + 5(2v + -5) = 0 Reorder the terms: -6 + -1v + 5(-5 + 2v) = 0 -6 + -1v + (-5 * 5 + 2v * 5) = 0 -6 + -1v + (-25 + 10v) = 0 Reorder the terms: -6 + -25 + -1v + 10v = 0 Combine like terms: -6 + -25 = -31 -31 + -1v + 10v = 0 Combine like terms: -1v + 10v = 9v -31 + 9v = 0 Solving -31 + 9v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 9v = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 9v = 0 + 31 9v = 0 + 31 Combine like terms: 0 + 31 = 31 9v = 31 Divide each side by '9'. v = 3.444444444 Simplifying v = 3.444444444
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