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Simplifying 5(3v + -7) = -30 + -9v Reorder the terms: 5(-7 + 3v) = -30 + -9v (-7 * 5 + 3v * 5) = -30 + -9v (-35 + 15v) = -30 + -9v Solving -35 + 15v = -30 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -35 + 15v + 9v = -30 + -9v + 9v Combine like terms: 15v + 9v = 24v -35 + 24v = -30 + -9v + 9v Combine like terms: -9v + 9v = 0 -35 + 24v = -30 + 0 -35 + 24v = -30 Add '35' to each side of the equation. -35 + 35 + 24v = -30 + 35 Combine like terms: -35 + 35 = 0 0 + 24v = -30 + 35 24v = -30 + 35 Combine like terms: -30 + 35 = 5 24v = 5 Divide each side by '24'. v = 0.2083333333 Simplifying v = 0.2083333333
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