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Simplifying 9v + -49 = -5(v + -7) Reorder the terms: -49 + 9v = -5(v + -7) Reorder the terms: -49 + 9v = -5(-7 + v) -49 + 9v = (-7 * -5 + v * -5) -49 + 9v = (35 + -5v) Solving -49 + 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. -49 + 9v + 5v = 35 + -5v + 5v Combine like terms: 9v + 5v = 14v -49 + 14v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 -49 + 14v = 35 + 0 -49 + 14v = 35 Add '49' to each side of the equation. -49 + 49 + 14v = 35 + 49 Combine like terms: -49 + 49 = 0 0 + 14v = 35 + 49 14v = 35 + 49 Combine like terms: 35 + 49 = 84 14v = 84 Divide each side by '14'. v = 6 Simplifying v = 6
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