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Simplifying 3(2v + 8) + 3 = -8 + v Reorder the terms: 3(8 + 2v) + 3 = -8 + v (8 * 3 + 2v * 3) + 3 = -8 + v (24 + 6v) + 3 = -8 + v Reorder the terms: 24 + 3 + 6v = -8 + v Combine like terms: 24 + 3 = 27 27 + 6v = -8 + v Solving 27 + 6v = -8 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 27 + 6v + -1v = -8 + v + -1v Combine like terms: 6v + -1v = 5v 27 + 5v = -8 + v + -1v Combine like terms: v + -1v = 0 27 + 5v = -8 + 0 27 + 5v = -8 Add '-27' to each side of the equation. 27 + -27 + 5v = -8 + -27 Combine like terms: 27 + -27 = 0 0 + 5v = -8 + -27 5v = -8 + -27 Combine like terms: -8 + -27 = -35 5v = -35 Divide each side by '5'. v = -7 Simplifying v = -7
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