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Simplifying 7(2v + -1) + 2 = 51 Reorder the terms: 7(-1 + 2v) + 2 = 51 (-1 * 7 + 2v * 7) + 2 = 51 (-7 + 14v) + 2 = 51 Reorder the terms: -7 + 2 + 14v = 51 Combine like terms: -7 + 2 = -5 -5 + 14v = 51 Solving -5 + 14v = 51 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 14v = 51 + 5 Combine like terms: -5 + 5 = 0 0 + 14v = 51 + 5 14v = 51 + 5 Combine like terms: 51 + 5 = 56 14v = 56 Divide each side by '14'. v = 4 Simplifying v = 4
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