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Simplifying -7v + 5(v + -5) = -9 Reorder the terms: -7v + 5(-5 + v) = -9 -7v + (-5 * 5 + v * 5) = -9 -7v + (-25 + 5v) = -9 Reorder the terms: -25 + -7v + 5v = -9 Combine like terms: -7v + 5v = -2v -25 + -2v = -9 Solving -25 + -2v = -9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2v = -9 + 25 Combine like terms: -25 + 25 = 0 0 + -2v = -9 + 25 -2v = -9 + 25 Combine like terms: -9 + 25 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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