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Simplifying -5v + -1(1 + -7v) = 15 -5v + (1 * -1 + -7v * -1) = 15 -5v + (-1 + 7v) = 15 Reorder the terms: -1 + -5v + 7v = 15 Combine like terms: -5v + 7v = 2v -1 + 2v = 15 Solving -1 + 2v = 15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2v = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2v = 15 + 1 2v = 15 + 1 Combine like terms: 15 + 1 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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