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Simplifying 6(6v + 6) + -5 = 1 + 76v Reorder the terms: 6(6 + 6v) + -5 = 1 + 76v (6 * 6 + 6v * 6) + -5 = 1 + 76v (36 + 36v) + -5 = 1 + 76v Reorder the terms: 36 + -5 + 36v = 1 + 76v Combine like terms: 36 + -5 = 31 31 + 36v = 1 + 76v Solving 31 + 36v = 1 + 76v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-76v' to each side of the equation. 31 + 36v + -76v = 1 + 76v + -76v Combine like terms: 36v + -76v = -40v 31 + -40v = 1 + 76v + -76v Combine like terms: 76v + -76v = 0 31 + -40v = 1 + 0 31 + -40v = 1 Add '-31' to each side of the equation. 31 + -31 + -40v = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -40v = 1 + -31 -40v = 1 + -31 Combine like terms: 1 + -31 = -30 -40v = -30 Divide each side by '-40'. v = 0.75 Simplifying v = 0.75
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