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Simplifying 97 + 4(-9v + 100) = -100 + -99 + -60v Reorder the terms: 97 + 4(100 + -9v) = -100 + -99 + -60v 97 + (100 * 4 + -9v * 4) = -100 + -99 + -60v 97 + (400 + -36v) = -100 + -99 + -60v Combine like terms: 97 + 400 = 497 497 + -36v = -100 + -99 + -60v Combine like terms: -100 + -99 = -199 497 + -36v = -199 + -60v Solving 497 + -36v = -199 + -60v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '60v' to each side of the equation. 497 + -36v + 60v = -199 + -60v + 60v Combine like terms: -36v + 60v = 24v 497 + 24v = -199 + -60v + 60v Combine like terms: -60v + 60v = 0 497 + 24v = -199 + 0 497 + 24v = -199 Add '-497' to each side of the equation. 497 + -497 + 24v = -199 + -497 Combine like terms: 497 + -497 = 0 0 + 24v = -199 + -497 24v = -199 + -497 Combine like terms: -199 + -497 = -696 24v = -696 Divide each side by '24'. v = -29 Simplifying v = -29
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