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Simplifying 3(4v + -7) = -2v + 7 Reorder the terms: 3(-7 + 4v) = -2v + 7 (-7 * 3 + 4v * 3) = -2v + 7 (-21 + 12v) = -2v + 7 Reorder the terms: -21 + 12v = 7 + -2v Solving -21 + 12v = 7 + -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. -21 + 12v + 2v = 7 + -2v + 2v Combine like terms: 12v + 2v = 14v -21 + 14v = 7 + -2v + 2v Combine like terms: -2v + 2v = 0 -21 + 14v = 7 + 0 -21 + 14v = 7 Add '21' to each side of the equation. -21 + 21 + 14v = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 14v = 7 + 21 14v = 7 + 21 Combine like terms: 7 + 21 = 28 14v = 28 Divide each side by '14'. v = 2 Simplifying v = 2
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