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Simplifying -5v + -1(1 + -3v) = 15 -5v + (1 * -1 + -3v * -1) = 15 -5v + (-1 + 3v) = 15 Reorder the terms: -1 + -5v + 3v = 15 Combine like terms: -5v + 3v = -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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