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Simplifying -7v + 2(v + -7) = 1 Reorder the terms: -7v + 2(-7 + v) = 1 -7v + (-7 * 2 + v * 2) = 1 -7v + (-14 + 2v) = 1 Reorder the terms: -14 + -7v + 2v = 1 Combine like terms: -7v + 2v = -5v -14 + -5v = 1 Solving -14 + -5v = 1 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 + -5v = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -5v = 1 + 14 -5v = 1 + 14 Combine like terms: 1 + 14 = 15 -5v = 15 Divide each side by '-5'. v = -3 Simplifying v = -3
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