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Simplifying -6(v + -3) = 8v + 46 Reorder the terms: -6(-3 + v) = 8v + 46 (-3 * -6 + v * -6) = 8v + 46 (18 + -6v) = 8v + 46 Reorder the terms: 18 + -6v = 46 + 8v Solving 18 + -6v = 46 + 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. 18 + -6v + -8v = 46 + 8v + -8v Combine like terms: -6v + -8v = -14v 18 + -14v = 46 + 8v + -8v Combine like terms: 8v + -8v = 0 18 + -14v = 46 + 0 18 + -14v = 46 Add '-18' to each side of the equation. 18 + -18 + -14v = 46 + -18 Combine like terms: 18 + -18 = 0 0 + -14v = 46 + -18 -14v = 46 + -18 Combine like terms: 46 + -18 = 28 -14v = 28 Divide each side by '-14'. v = -2 Simplifying v = -2
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