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Simplifying 7v + 9 + -8v = -31 Reorder the terms: 9 + 7v + -8v = -31 Combine like terms: 7v + -8v = -1v 9 + -1v = -31 Solving 9 + -1v = -31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1v = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = -31 + -9 -1v = -31 + -9 Combine like terms: -31 + -9 = -40 -1v = -40 Divide each side by '-1'. v = 40 Simplifying v = 40
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