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Simplifying 5(3 + 2v) = 5(4 + v + -1) (3 * 5 + 2v * 5) = 5(4 + v + -1) (15 + 10v) = 5(4 + v + -1) Reorder the terms: 15 + 10v = 5(4 + -1 + v) Combine like terms: 4 + -1 = 3 15 + 10v = 5(3 + v) 15 + 10v = (3 * 5 + v * 5) 15 + 10v = (15 + 5v) Add '-15' to each side of the equation. 15 + -15 + 10v = 15 + -15 + 5v Combine like terms: 15 + -15 = 0 0 + 10v = 15 + -15 + 5v 10v = 15 + -15 + 5v Combine like terms: 15 + -15 = 0 10v = 0 + 5v 10v = 5v Solving 10v = 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 10v + -5v = 5v + -5v Combine like terms: 10v + -5v = 5v 5v = 5v + -5v Combine like terms: 5v + -5v = 0 5v = 0 Divide each side by '5'. v = 0 Simplifying v = 0
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