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Simplifying 6(7v + -5) + -4 = 9 + -3v Reorder the terms: 6(-5 + 7v) + -4 = 9 + -3v (-5 * 6 + 7v * 6) + -4 = 9 + -3v (-30 + 42v) + -4 = 9 + -3v Reorder the terms: -30 + -4 + 42v = 9 + -3v Combine like terms: -30 + -4 = -34 -34 + 42v = 9 + -3v Solving -34 + 42v = 9 + -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. -34 + 42v + 3v = 9 + -3v + 3v Combine like terms: 42v + 3v = 45v -34 + 45v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 -34 + 45v = 9 + 0 -34 + 45v = 9 Add '34' to each side of the equation. -34 + 34 + 45v = 9 + 34 Combine like terms: -34 + 34 = 0 0 + 45v = 9 + 34 45v = 9 + 34 Combine like terms: 9 + 34 = 43 45v = 43 Divide each side by '45'. v = 0.9555555556 Simplifying v = 0.9555555556
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