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Simplifying -7v + 2(v + 3) = 31 Reorder the terms: -7v + 2(3 + v) = 31 -7v + (3 * 2 + v * 2) = 31 -7v + (6 + 2v) = 31 Reorder the terms: 6 + -7v + 2v = 31 Combine like terms: -7v + 2v = -5v 6 + -5v = 31 Solving 6 + -5v = 31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5v = 31 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = 31 + -6 -5v = 31 + -6 Combine like terms: 31 + -6 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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