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Simplifying 5(4v + -5) + -3(v + 6) = 0 Reorder the terms: 5(-5 + 4v) + -3(v + 6) = 0 (-5 * 5 + 4v * 5) + -3(v + 6) = 0 (-25 + 20v) + -3(v + 6) = 0 Reorder the terms: -25 + 20v + -3(6 + v) = 0 -25 + 20v + (6 * -3 + v * -3) = 0 -25 + 20v + (-18 + -3v) = 0 Reorder the terms: -25 + -18 + 20v + -3v = 0 Combine like terms: -25 + -18 = -43 -43 + 20v + -3v = 0 Combine like terms: 20v + -3v = 17v -43 + 17v = 0 Solving -43 + 17v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 17v = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 17v = 0 + 43 17v = 0 + 43 Combine like terms: 0 + 43 = 43 17v = 43 Divide each side by '17'. v = 2.529411765 Simplifying v = 2.529411765
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