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Simplifying -7(v + 5) = -5v + -25 Reorder the terms: -7(5 + v) = -5v + -25 (5 * -7 + v * -7) = -5v + -25 (-35 + -7v) = -5v + -25 Reorder the terms: -35 + -7v = -25 + -5v Solving -35 + -7v = -25 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -35 + -7v + 5v = -25 + -5v + 5v Combine like terms: -7v + 5v = -2v -35 + -2v = -25 + -5v + 5v Combine like terms: -5v + 5v = 0 -35 + -2v = -25 + 0 -35 + -2v = -25 Add '35' to each side of the equation. -35 + 35 + -2v = -25 + 35 Combine like terms: -35 + 35 = 0 0 + -2v = -25 + 35 -2v = -25 + 35 Combine like terms: -25 + 35 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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