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Simplifying 5(8v + -2) = 6v + -10 Reorder the terms: 5(-2 + 8v) = 6v + -10 (-2 * 5 + 8v * 5) = 6v + -10 (-10 + 40v) = 6v + -10 Reorder the terms: -10 + 40v = -10 + 6v Add '10' to each side of the equation. -10 + 10 + 40v = -10 + 10 + 6v Combine like terms: -10 + 10 = 0 0 + 40v = -10 + 10 + 6v 40v = -10 + 10 + 6v Combine like terms: -10 + 10 = 0 40v = 0 + 6v 40v = 6v Solving 40v = 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. 40v + -6v = 6v + -6v Combine like terms: 40v + -6v = 34v 34v = 6v + -6v Combine like terms: 6v + -6v = 0 34v = 0 Divide each side by '34'. v = 0 Simplifying v = 0
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