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Simplifying 2(v + -7) = 8v + 46 Reorder the terms: 2(-7 + v) = 8v + 46 (-7 * 2 + v * 2) = 8v + 46 (-14 + 2v) = 8v + 46 Reorder the terms: -14 + 2v = 46 + 8v Solving -14 + 2v = 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. -14 + 2v + -8v = 46 + 8v + -8v Combine like terms: 2v + -8v = -6v -14 + -6v = 46 + 8v + -8v Combine like terms: 8v + -8v = 0 -14 + -6v = 46 + 0 -14 + -6v = 46 Add '14' to each side of the equation. -14 + 14 + -6v = 46 + 14 Combine like terms: -14 + 14 = 0 0 + -6v = 46 + 14 -6v = 46 + 14 Combine like terms: 46 + 14 = 60 -6v = 60 Divide each side by '-6'. v = -10 Simplifying v = -10
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