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Simplifying -3(v + 3) = 8v + 46 Reorder the terms: -3(3 + v) = 8v + 46 (3 * -3 + v * -3) = 8v + 46 (-9 + -3v) = 8v + 46 Reorder the terms: -9 + -3v = 46 + 8v Solving -9 + -3v = 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. -9 + -3v + -8v = 46 + 8v + -8v Combine like terms: -3v + -8v = -11v -9 + -11v = 46 + 8v + -8v Combine like terms: 8v + -8v = 0 -9 + -11v = 46 + 0 -9 + -11v = 46 Add '9' to each side of the equation. -9 + 9 + -11v = 46 + 9 Combine like terms: -9 + 9 = 0 0 + -11v = 46 + 9 -11v = 46 + 9 Combine like terms: 46 + 9 = 55 -11v = 55 Divide each side by '-11'. v = -5 Simplifying v = -5
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