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Simplifying (1v + 6) + 7 = 5 + -5v Reorder the terms: (6 + 1v) + 7 = 5 + -5v Remove parenthesis around (6 + 1v) 6 + 1v + 7 = 5 + -5v Reorder the terms: 6 + 7 + 1v = 5 + -5v Combine like terms: 6 + 7 = 13 13 + 1v = 5 + -5v Solving 13 + 1v = 5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 13 + 1v + 5v = 5 + -5v + 5v Combine like terms: 1v + 5v = 6v 13 + 6v = 5 + -5v + 5v Combine like terms: -5v + 5v = 0 13 + 6v = 5 + 0 13 + 6v = 5 Add '-13' to each side of the equation. 13 + -13 + 6v = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 6v = 5 + -13 6v = 5 + -13 Combine like terms: 5 + -13 = -8 6v = -8 Divide each side by '6'. v = -1.333333333 Simplifying v = -1.333333333
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