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Simplifying 5(1 + 10v) = 5(1 + 3v) (1 * 5 + 10v * 5) = 5(1 + 3v) (5 + 50v) = 5(1 + 3v) 5 + 50v = (1 * 5 + 3v * 5) 5 + 50v = (5 + 15v) Add '-5' to each side of the equation. 5 + -5 + 50v = 5 + -5 + 15v Combine like terms: 5 + -5 = 0 0 + 50v = 5 + -5 + 15v 50v = 5 + -5 + 15v Combine like terms: 5 + -5 = 0 50v = 0 + 15v 50v = 15v Solving 50v = 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 50v + -15v = 15v + -15v Combine like terms: 50v + -15v = 35v 35v = 15v + -15v Combine like terms: 15v + -15v = 0 35v = 0 Divide each side by '35'. v = 0 Simplifying v = 0
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