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Simplifying -3(5 + -9v) = 25 + 7v (5 * -3 + -9v * -3) = 25 + 7v (-15 + 27v) = 25 + 7v Solving -15 + 27v = 25 + 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. -15 + 27v + -7v = 25 + 7v + -7v Combine like terms: 27v + -7v = 20v -15 + 20v = 25 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + 20v = 25 + 0 -15 + 20v = 25 Add '15' to each side of the equation. -15 + 15 + 20v = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 20v = 25 + 15 20v = 25 + 15 Combine like terms: 25 + 15 = 40 20v = 40 Divide each side by '20'. v = 2 Simplifying v = 2
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