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Simplifying -31 = -7v + 2(v + 2) Reorder the terms: -31 = -7v + 2(2 + v) -31 = -7v + (2 * 2 + v * 2) -31 = -7v + (4 + 2v) Reorder the terms: -31 = 4 + -7v + 2v Combine like terms: -7v + 2v = -5v -31 = 4 + -5v Solving -31 = 4 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -31 + 5v = 4 + -5v + 5v Combine like terms: -5v + 5v = 0 -31 + 5v = 4 + 0 -31 + 5v = 4 Add '31' to each side of the equation. -31 + 31 + 5v = 4 + 31 Combine like terms: -31 + 31 = 0 0 + 5v = 4 + 31 5v = 4 + 31 Combine like terms: 4 + 31 = 35 5v = 35 Divide each side by '5'. v = 7 Simplifying v = 7
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