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Simplifying 7v + 4 + -8v = 31 Reorder the terms: 4 + 7v + -8v = 31 Combine like terms: 7v + -8v = -1v 4 + -1v = 31 Solving 4 + -1v = 31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 31 + -4 -1v = 31 + -4 Combine like terms: 31 + -4 = 27 -1v = 27 Divide each side by '-1'. v = -27 Simplifying v = -27
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