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Simplifying 31 = -7v + 2(v + -7) Reorder the terms: 31 = -7v + 2(-7 + v) 31 = -7v + (-7 * 2 + v * 2) 31 = -7v + (-14 + 2v) Reorder the terms: 31 = -14 + -7v + 2v Combine like terms: -7v + 2v = -5v 31 = -14 + -5v Solving 31 = -14 + -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 = -14 + -5v + 5v Combine like terms: -5v + 5v = 0 31 + 5v = -14 + 0 31 + 5v = -14 Add '-31' to each side of the equation. 31 + -31 + 5v = -14 + -31 Combine like terms: 31 + -31 = 0 0 + 5v = -14 + -31 5v = -14 + -31 Combine like terms: -14 + -31 = -45 5v = -45 Divide each side by '5'. v = -9 Simplifying v = -9
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