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Simplifying -1(9 + 7v) = -3v + 15 (9 * -1 + 7v * -1) = -3v + 15 (-9 + -7v) = -3v + 15 Reorder the terms: -9 + -7v = 15 + -3v Solving -9 + -7v = 15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -9 + -7v + 3v = 15 + -3v + 3v Combine like terms: -7v + 3v = -4v -9 + -4v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 -9 + -4v = 15 + 0 -9 + -4v = 15 Add '9' to each side of the equation. -9 + 9 + -4v = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -4v = 15 + 9 -4v = 15 + 9 Combine like terms: 15 + 9 = 24 -4v = 24 Divide each side by '-4'. v = -6 Simplifying v = -6
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