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Simplifying 5v + -9 = -7v + -9 Reorder the terms: -9 + 5v = -7v + -9 Reorder the terms: -9 + 5v = -9 + -7v Add '9' to each side of the equation. -9 + 9 + 5v = -9 + 9 + -7v Combine like terms: -9 + 9 = 0 0 + 5v = -9 + 9 + -7v 5v = -9 + 9 + -7v Combine like terms: -9 + 9 = 0 5v = 0 + -7v 5v = -7v Solving 5v = -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. 5v + 7v = -7v + 7v Combine like terms: 5v + 7v = 12v 12v = -7v + 7v Combine like terms: -7v + 7v = 0 12v = 0 Divide each side by '12'. v = 0 Simplifying v = 0
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