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Simplifying -9(v + 5) + v = -12v + -9 Reorder the terms: -9(5 + v) + v = -12v + -9 (5 * -9 + v * -9) + v = -12v + -9 (-45 + -9v) + v = -12v + -9 Combine like terms: -9v + v = -8v -45 + -8v = -12v + -9 Reorder the terms: -45 + -8v = -9 + -12v Solving -45 + -8v = -9 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -45 + -8v + 12v = -9 + -12v + 12v Combine like terms: -8v + 12v = 4v -45 + 4v = -9 + -12v + 12v Combine like terms: -12v + 12v = 0 -45 + 4v = -9 + 0 -45 + 4v = -9 Add '45' to each side of the equation. -45 + 45 + 4v = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 4v = -9 + 45 4v = -9 + 45 Combine like terms: -9 + 45 = 36 4v = 36 Divide each side by '4'. v = 9 Simplifying v = 9
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