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Simplifying 31 = 6(6v + -6) + -5 Reorder the terms: 31 = 6(-6 + 6v) + -5 31 = (-6 * 6 + 6v * 6) + -5 31 = (-36 + 36v) + -5 Reorder the terms: 31 = -36 + -5 + 36v Combine like terms: -36 + -5 = -41 31 = -41 + 36v Solving 31 = -41 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. 31 + -36v = -41 + 36v + -36v Combine like terms: 36v + -36v = 0 31 + -36v = -41 + 0 31 + -36v = -41 Add '-31' to each side of the equation. 31 + -31 + -36v = -41 + -31 Combine like terms: 31 + -31 = 0 0 + -36v = -41 + -31 -36v = -41 + -31 Combine like terms: -41 + -31 = -72 -36v = -72 Divide each side by '-36'. v = 2 Simplifying v = 2
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