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Simplifying 7(v + -7) = 31 + v Reorder the terms: 7(-7 + v) = 31 + v (-7 * 7 + v * 7) = 31 + v (-49 + 7v) = 31 + v Solving -49 + 7v = 31 + 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. -49 + 7v + -1v = 31 + v + -1v Combine like terms: 7v + -1v = 6v -49 + 6v = 31 + v + -1v Combine like terms: v + -1v = 0 -49 + 6v = 31 + 0 -49 + 6v = 31 Add '49' to each side of the equation. -49 + 49 + 6v = 31 + 49 Combine like terms: -49 + 49 = 0 0 + 6v = 31 + 49 6v = 31 + 49 Combine like terms: 31 + 49 = 80 6v = 80 Divide each side by '6'. v = 13.33333333 Simplifying v = 13.33333333
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