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Simplifying -6(8v + -7) = -294 Reorder the terms: -6(-7 + 8v) = -294 (-7 * -6 + 8v * -6) = -294 (42 + -48v) = -294 Solving 42 + -48v = -294 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -48v = -294 + -42 Combine like terms: 42 + -42 = 0 0 + -48v = -294 + -42 -48v = -294 + -42 Combine like terms: -294 + -42 = -336 -48v = -336 Divide each side by '-48'. v = 7 Simplifying v = 7
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