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Simplifying 8(6v + 5) = -9 + -1v Reorder the terms: 8(5 + 6v) = -9 + -1v (5 * 8 + 6v * 8) = -9 + -1v (40 + 48v) = -9 + -1v Solving 40 + 48v = -9 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 40 + 48v + v = -9 + -1v + v Combine like terms: 48v + v = 49v 40 + 49v = -9 + -1v + v Combine like terms: -1v + v = 0 40 + 49v = -9 + 0 40 + 49v = -9 Add '-40' to each side of the equation. 40 + -40 + 49v = -9 + -40 Combine like terms: 40 + -40 = 0 0 + 49v = -9 + -40 49v = -9 + -40 Combine like terms: -9 + -40 = -49 49v = -49 Divide each side by '49'. v = -1 Simplifying v = -1
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