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Simplifying -9v + -5 = -5(v + -7) Reorder the terms: -5 + -9v = -5(v + -7) Reorder the terms: -5 + -9v = -5(-7 + v) -5 + -9v = (-7 * -5 + v * -5) -5 + -9v = (35 + -5v) Solving -5 + -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. -5 + -9v + 5v = 35 + -5v + 5v Combine like terms: -9v + 5v = -4v -5 + -4v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 -5 + -4v = 35 + 0 -5 + -4v = 35 Add '5' to each side of the equation. -5 + 5 + -4v = 35 + 5 Combine like terms: -5 + 5 = 0 0 + -4v = 35 + 5 -4v = 35 + 5 Combine like terms: 35 + 5 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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