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Simplifying 3(v + 2) + -8 = 31 Reorder the terms: 3(2 + v) + -8 = 31 (2 * 3 + v * 3) + -8 = 31 (6 + 3v) + -8 = 31 Reorder the terms: 6 + -8 + 3v = 31 Combine like terms: 6 + -8 = -2 -2 + 3v = 31 Solving -2 + 3v = 31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3v = 31 + 2 Combine like terms: -2 + 2 = 0 0 + 3v = 31 + 2 3v = 31 + 2 Combine like terms: 31 + 2 = 33 3v = 33 Divide each side by '3'. v = 11 Simplifying v = 11
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