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Simplifying 6(6v + 5) = 14 + 5v Reorder the terms: 6(5 + 6v) = 14 + 5v (5 * 6 + 6v * 6) = 14 + 5v (30 + 36v) = 14 + 5v Solving 30 + 36v = 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. 30 + 36v + -5v = 14 + 5v + -5v Combine like terms: 36v + -5v = 31v 30 + 31v = 14 + 5v + -5v Combine like terms: 5v + -5v = 0 30 + 31v = 14 + 0 30 + 31v = 14 Add '-30' to each side of the equation. 30 + -30 + 31v = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 31v = 14 + -30 31v = 14 + -30 Combine like terms: 14 + -30 = -16 31v = -16 Divide each side by '31'. v = -0.5161290323 Simplifying v = -0.5161290323
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