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Simplifying 5(6v + -5) + 8v = -25 + 3v Reorder the terms: 5(-5 + 6v) + 8v = -25 + 3v (-5 * 5 + 6v * 5) + 8v = -25 + 3v (-25 + 30v) + 8v = -25 + 3v Combine like terms: 30v + 8v = 38v -25 + 38v = -25 + 3v Add '25' to each side of the equation. -25 + 25 + 38v = -25 + 25 + 3v Combine like terms: -25 + 25 = 0 0 + 38v = -25 + 25 + 3v 38v = -25 + 25 + 3v Combine like terms: -25 + 25 = 0 38v = 0 + 3v 38v = 3v Solving 38v = 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 38v + -3v = 3v + -3v Combine like terms: 38v + -3v = 35v 35v = 3v + -3v Combine like terms: 3v + -3v = 0 35v = 0 Divide each side by '35'. v = 0 Simplifying v = 0
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