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Simplifying 8 = 6v + 8(v + -6) Reorder the terms: 8 = 6v + 8(-6 + v) 8 = 6v + (-6 * 8 + v * 8) 8 = 6v + (-48 + 8v) Reorder the terms: 8 = -48 + 6v + 8v Combine like terms: 6v + 8v = 14v 8 = -48 + 14v Solving 8 = -48 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 8 + -14v = -48 + 14v + -14v Combine like terms: 14v + -14v = 0 8 + -14v = -48 + 0 8 + -14v = -48 Add '-8' to each side of the equation. 8 + -8 + -14v = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -14v = -48 + -8 -14v = -48 + -8 Combine like terms: -48 + -8 = -56 -14v = -56 Divide each side by '-14'. v = 4 Simplifying v = 4
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