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Simplifying 6v + -8(-5 + 5v) = 312 6v + (-5 * -8 + 5v * -8) = 312 6v + (40 + -40v) = 312 Reorder the terms: 40 + 6v + -40v = 312 Combine like terms: 6v + -40v = -34v 40 + -34v = 312 Solving 40 + -34v = 312 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -34v = 312 + -40 Combine like terms: 40 + -40 = 0 0 + -34v = 312 + -40 -34v = 312 + -40 Combine like terms: 312 + -40 = 272 -34v = 272 Divide each side by '-34'. v = -8 Simplifying v = -8
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