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Simplifying 1 + -1v + 3 + 7 = v + 1 Reorder the terms: 1 + 3 + 7 + -1v = v + 1 Combine like terms: 1 + 3 = 4 4 + 7 + -1v = v + 1 Combine like terms: 4 + 7 = 11 11 + -1v = v + 1 Reorder the terms: 11 + -1v = 1 + v Solving 11 + -1v = 1 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 11 + -1v + -1v = 1 + v + -1v Combine like terms: -1v + -1v = -2v 11 + -2v = 1 + v + -1v Combine like terms: v + -1v = 0 11 + -2v = 1 + 0 11 + -2v = 1 Add '-11' to each side of the equation. 11 + -11 + -2v = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2v = 1 + -11 -2v = 1 + -11 Combine like terms: 1 + -11 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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