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Simplifying 3 + 4 = 12 + -1v Combine like terms: 3 + 4 = 7 7 = 12 + -1v Solving 7 = 12 + -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. 7 + v = 12 + -1v + v Combine like terms: -1v + v = 0 7 + v = 12 + 0 7 + v = 12 Add '-7' to each side of the equation. 7 + -7 + v = 12 + -7 Combine like terms: 7 + -7 = 0 0 + v = 12 + -7 v = 12 + -7 Combine like terms: 12 + -7 = 5 v = 5 Simplifying v = 5
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