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Simplifying 15(5.5 + v) = 24(5.5 + -1v) (5.5 * 15 + v * 15) = 24(5.5 + -1v) (82.5 + 15v) = 24(5.5 + -1v) 82.5 + 15v = (5.5 * 24 + -1v * 24) 82.5 + 15v = (132 + -24v) Solving 82.5 + 15v = 132 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. 82.5 + 15v + 24v = 132 + -24v + 24v Combine like terms: 15v + 24v = 39v 82.5 + 39v = 132 + -24v + 24v Combine like terms: -24v + 24v = 0 82.5 + 39v = 132 + 0 82.5 + 39v = 132 Add '-82.5' to each side of the equation. 82.5 + -82.5 + 39v = 132 + -82.5 Combine like terms: 82.5 + -82.5 = 0.0 0.0 + 39v = 132 + -82.5 39v = 132 + -82.5 Combine like terms: 132 + -82.5 = 49.5 39v = 49.5 Divide each side by '39'. v = 1.269230769 Simplifying v = 1.269230769
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