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Simplifying v + -5 = 3(15 + -8v) Reorder the terms: -5 + v = 3(15 + -8v) -5 + v = (15 * 3 + -8v * 3) -5 + v = (45 + -24v) Solving -5 + v = 45 + -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. -5 + v + 24v = 45 + -24v + 24v Combine like terms: v + 24v = 25v -5 + 25v = 45 + -24v + 24v Combine like terms: -24v + 24v = 0 -5 + 25v = 45 + 0 -5 + 25v = 45 Add '5' to each side of the equation. -5 + 5 + 25v = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 25v = 45 + 5 25v = 45 + 5 Combine like terms: 45 + 5 = 50 25v = 50 Divide each side by '25'. v = 2 Simplifying v = 2
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