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Simplifying -6(v + -5) = 2v + 46 Reorder the terms: -6(-5 + v) = 2v + 46 (-5 * -6 + v * -6) = 2v + 46 (30 + -6v) = 2v + 46 Reorder the terms: 30 + -6v = 46 + 2v Solving 30 + -6v = 46 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 30 + -6v + -2v = 46 + 2v + -2v Combine like terms: -6v + -2v = -8v 30 + -8v = 46 + 2v + -2v Combine like terms: 2v + -2v = 0 30 + -8v = 46 + 0 30 + -8v = 46 Add '-30' to each side of the equation. 30 + -30 + -8v = 46 + -30 Combine like terms: 30 + -30 = 0 0 + -8v = 46 + -30 -8v = 46 + -30 Combine like terms: 46 + -30 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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