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Simplifying -8v + 3v = 5(-2v + 1) Combine like terms: -8v + 3v = -5v -5v = 5(-2v + 1) Reorder the terms: -5v = 5(1 + -2v) -5v = (1 * 5 + -2v * 5) -5v = (5 + -10v) Solving -5v = 5 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -5v + 10v = 5 + -10v + 10v Combine like terms: -5v + 10v = 5v 5v = 5 + -10v + 10v Combine like terms: -10v + 10v = 0 5v = 5 + 0 5v = 5 Divide each side by '5'. v = 1 Simplifying v = 1
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