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Simplifying -6(8v + -7) = -14 + 8v Reorder the terms: -6(-7 + 8v) = -14 + 8v (-7 * -6 + 8v * -6) = -14 + 8v (42 + -48v) = -14 + 8v Solving 42 + -48v = -14 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 42 + -48v + -8v = -14 + 8v + -8v Combine like terms: -48v + -8v = -56v 42 + -56v = -14 + 8v + -8v Combine like terms: 8v + -8v = 0 42 + -56v = -14 + 0 42 + -56v = -14 Add '-42' to each side of the equation. 42 + -42 + -56v = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -56v = -14 + -42 -56v = -14 + -42 Combine like terms: -14 + -42 = -56 -56v = -56 Divide each side by '-56'. v = 1 Simplifying v = 1
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