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Simplifying 9v + 7 = -5(v + -7) Reorder the terms: 7 + 9v = -5(v + -7) Reorder the terms: 7 + 9v = -5(-7 + v) 7 + 9v = (-7 * -5 + v * -5) 7 + 9v = (35 + -5v) Solving 7 + 9v = 35 + -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. 7 + 9v + 5v = 35 + -5v + 5v Combine like terms: 9v + 5v = 14v 7 + 14v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 7 + 14v = 35 + 0 7 + 14v = 35 Add '-7' to each side of the equation. 7 + -7 + 14v = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 14v = 35 + -7 14v = 35 + -7 Combine like terms: 35 + -7 = 28 14v = 28 Divide each side by '14'. v = 2 Simplifying v = 2
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