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Simplifying 31 = -7 + 6(v + 4) Reorder the terms: 31 = -7 + 6(4 + v) 31 = -7 + (4 * 6 + v * 6) 31 = -7 + (24 + 6v) Combine like terms: -7 + 24 = 17 31 = 17 + 6v Solving 31 = 17 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 31 + -6v = 17 + 6v + -6v Combine like terms: 6v + -6v = 0 31 + -6v = 17 + 0 31 + -6v = 17 Add '-31' to each side of the equation. 31 + -31 + -6v = 17 + -31 Combine like terms: 31 + -31 = 0 0 + -6v = 17 + -31 -6v = 17 + -31 Combine like terms: 17 + -31 = -14 -6v = -14 Divide each side by '-6'. v = 2.333333333 Simplifying v = 2.333333333
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