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Simplifying 3 + -9 = 7 + 2 + -1v Combine like terms: 3 + -9 = -6 -6 = 7 + 2 + -1v Combine like terms: 7 + 2 = 9 -6 = 9 + -1v Solving -6 = 9 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -6 + v = 9 + -1v + v Combine like terms: -1v + v = 0 -6 + v = 9 + 0 -6 + v = 9 Add '6' to each side of the equation. -6 + 6 + v = 9 + 6 Combine like terms: -6 + 6 = 0 0 + v = 9 + 6 v = 9 + 6 Combine like terms: 9 + 6 = 15 v = 15 Simplifying v = 15
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