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Simplifying v + 31 = -3(1 + -6v) Reorder the terms: 31 + v = -3(1 + -6v) 31 + v = (1 * -3 + -6v * -3) 31 + v = (-3 + 18v) Solving 31 + v = -3 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 31 + v + -18v = -3 + 18v + -18v Combine like terms: v + -18v = -17v 31 + -17v = -3 + 18v + -18v Combine like terms: 18v + -18v = 0 31 + -17v = -3 + 0 31 + -17v = -3 Add '-31' to each side of the equation. 31 + -31 + -17v = -3 + -31 Combine like terms: 31 + -31 = 0 0 + -17v = -3 + -31 -17v = -3 + -31 Combine like terms: -3 + -31 = -34 -17v = -34 Divide each side by '-17'. v = 2 Simplifying v = 2
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