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Simplifying 2(v + -7) + 5v = 14 Reorder the terms: 2(-7 + v) + 5v = 14 (-7 * 2 + v * 2) + 5v = 14 (-14 + 2v) + 5v = 14 Combine like terms: 2v + 5v = 7v -14 + 7v = 14 Solving -14 + 7v = 14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7v = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 7v = 14 + 14 7v = 14 + 14 Combine like terms: 14 + 14 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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