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Simplifying 5(7 + 5v) = v + 35 (7 * 5 + 5v * 5) = v + 35 (35 + 25v) = v + 35 Reorder the terms: 35 + 25v = 35 + v Add '-35' to each side of the equation. 35 + -35 + 25v = 35 + -35 + v Combine like terms: 35 + -35 = 0 0 + 25v = 35 + -35 + v 25v = 35 + -35 + v Combine like terms: 35 + -35 = 0 25v = 0 + v 25v = v Solving 25v = v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 25v + -1v = v + -1v Combine like terms: 25v + -1v = 24v 24v = v + -1v Combine like terms: v + -1v = 0 24v = 0 Divide each side by '24'. v = 0 Simplifying v = 0
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