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Simplifying -8v + 410 = 6v + -500 Reorder the terms: 410 + -8v = 6v + -500 Reorder the terms: 410 + -8v = -500 + 6v Solving 410 + -8v = -500 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 410 + -8v + -6v = -500 + 6v + -6v Combine like terms: -8v + -6v = -14v 410 + -14v = -500 + 6v + -6v Combine like terms: 6v + -6v = 0 410 + -14v = -500 + 0 410 + -14v = -500 Add '-410' to each side of the equation. 410 + -410 + -14v = -500 + -410 Combine like terms: 410 + -410 = 0 0 + -14v = -500 + -410 -14v = -500 + -410 Combine like terms: -500 + -410 = -910 -14v = -910 Divide each side by '-14'. v = 65 Simplifying v = 65
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