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Simplifying -8(1 + -3v) = 37 + 9v (1 * -8 + -3v * -8) = 37 + 9v (-8 + 24v) = 37 + 9v Solving -8 + 24v = 37 + 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. -8 + 24v + -9v = 37 + 9v + -9v Combine like terms: 24v + -9v = 15v -8 + 15v = 37 + 9v + -9v Combine like terms: 9v + -9v = 0 -8 + 15v = 37 + 0 -8 + 15v = 37 Add '8' to each side of the equation. -8 + 8 + 15v = 37 + 8 Combine like terms: -8 + 8 = 0 0 + 15v = 37 + 8 15v = 37 + 8 Combine like terms: 37 + 8 = 45 15v = 45 Divide each side by '15'. v = 3 Simplifying v = 3
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