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Simplifying (9v + 14) + (v + 28) = 24v Reorder the terms: (14 + 9v) + (v + 28) = 24v Remove parenthesis around (14 + 9v) 14 + 9v + (v + 28) = 24v Reorder the terms: 14 + 9v + (28 + v) = 24v Remove parenthesis around (28 + v) 14 + 9v + 28 + v = 24v Reorder the terms: 14 + 28 + 9v + v = 24v Combine like terms: 14 + 28 = 42 42 + 9v + v = 24v Combine like terms: 9v + v = 10v 42 + 10v = 24v Solving 42 + 10v = 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. 42 + 10v + -24v = 24v + -24v Combine like terms: 10v + -24v = -14v 42 + -14v = 24v + -24v Combine like terms: 24v + -24v = 0 42 + -14v = 0 Add '-42' to each side of the equation. 42 + -42 + -14v = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -14v = 0 + -42 -14v = 0 + -42 Combine like terms: 0 + -42 = -42 -14v = -42 Divide each side by '-14'. v = 3 Simplifying v = 3
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