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Simplifying 5(5v + -1) = 4(6v + 1) Reorder the terms: 5(-1 + 5v) = 4(6v + 1) (-1 * 5 + 5v * 5) = 4(6v + 1) (-5 + 25v) = 4(6v + 1) Reorder the terms: -5 + 25v = 4(1 + 6v) -5 + 25v = (1 * 4 + 6v * 4) -5 + 25v = (4 + 24v) Solving -5 + 25v = 4 + 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 + 25v + -24v = 4 + 24v + -24v Combine like terms: 25v + -24v = 1v -5 + 1v = 4 + 24v + -24v Combine like terms: 24v + -24v = 0 -5 + 1v = 4 + 0 -5 + 1v = 4 Add '5' to each side of the equation. -5 + 5 + 1v = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 1v = 4 + 5 1v = 4 + 5 Combine like terms: 4 + 5 = 9 1v = 9 Divide each side by '1'. v = 9 Simplifying v = 9
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