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Simplifying 5(v + -5) + -7v = -5 Reorder the terms: 5(-5 + v) + -7v = -5 (-5 * 5 + v * 5) + -7v = -5 (-25 + 5v) + -7v = -5 Combine like terms: 5v + -7v = -2v -25 + -2v = -5 Solving -25 + -2v = -5 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 = -5 + 25 Combine like terms: -25 + 25 = 0 0 + -2v = -5 + 25 -2v = -5 + 25 Combine like terms: -5 + 25 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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