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Simplifying 2(v + -7) = -4v + 16 Reorder the terms: 2(-7 + v) = -4v + 16 (-7 * 2 + v * 2) = -4v + 16 (-14 + 2v) = -4v + 16 Reorder the terms: -14 + 2v = 16 + -4v Solving -14 + 2v = 16 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -14 + 2v + 4v = 16 + -4v + 4v Combine like terms: 2v + 4v = 6v -14 + 6v = 16 + -4v + 4v Combine like terms: -4v + 4v = 0 -14 + 6v = 16 + 0 -14 + 6v = 16 Add '14' to each side of the equation. -14 + 14 + 6v = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 6v = 16 + 14 6v = 16 + 14 Combine like terms: 16 + 14 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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