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Simplifying -23 + -1v = -5(5v + -5) Reorder the terms: -23 + -1v = -5(-5 + 5v) -23 + -1v = (-5 * -5 + 5v * -5) -23 + -1v = (25 + -25v) Solving -23 + -1v = 25 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. -23 + -1v + 25v = 25 + -25v + 25v Combine like terms: -1v + 25v = 24v -23 + 24v = 25 + -25v + 25v Combine like terms: -25v + 25v = 0 -23 + 24v = 25 + 0 -23 + 24v = 25 Add '23' to each side of the equation. -23 + 23 + 24v = 25 + 23 Combine like terms: -23 + 23 = 0 0 + 24v = 25 + 23 24v = 25 + 23 Combine like terms: 25 + 23 = 48 24v = 48 Divide each side by '24'. v = 2 Simplifying v = 2
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