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Simplifying 2(v + 7) = 7v + -31 Reorder the terms: 2(7 + v) = 7v + -31 (7 * 2 + v * 2) = 7v + -31 (14 + 2v) = 7v + -31 Reorder the terms: 14 + 2v = -31 + 7v Solving 14 + 2v = -31 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 14 + 2v + -7v = -31 + 7v + -7v Combine like terms: 2v + -7v = -5v 14 + -5v = -31 + 7v + -7v Combine like terms: 7v + -7v = 0 14 + -5v = -31 + 0 14 + -5v = -31 Add '-14' to each side of the equation. 14 + -14 + -5v = -31 + -14 Combine like terms: 14 + -14 = 0 0 + -5v = -31 + -14 -5v = -31 + -14 Combine like terms: -31 + -14 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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