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