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Simplifying 7v + 9 = -3v + -1 Reorder the terms: 9 + 7v = -3v + -1 Reorder the terms: 9 + 7v = -1 + -3v Solving 9 + 7v = -1 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 9 + 7v + 3v = -1 + -3v + 3v Combine like terms: 7v + 3v = 10v 9 + 10v = -1 + -3v + 3v Combine like terms: -3v + 3v = 0 9 + 10v = -1 + 0 9 + 10v = -1 Add '-9' to each side of the equation. 9 + -9 + 10v = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 10v = -1 + -9 10v = -1 + -9 Combine like terms: -1 + -9 = -10 10v = -10 Divide each side by '10'. v = -1 Simplifying v = -1
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