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Simplifying 2 + (2v + -1) * 7 = 51 Reorder the terms: 2 + (-1 + 2v) * 7 = 51 Reorder the terms for easier multiplication: 2 + 7(-1 + 2v) = 51 2 + (-1 * 7 + 2v * 7) = 51 2 + (-7 + 14v) = 51 Combine like terms: 2 + -7 = -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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