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Simplifying 8(3 + 6v) + -3 = -25 + 2v (3 * 8 + 6v * 8) + -3 = -25 + 2v (24 + 48v) + -3 = -25 + 2v Reorder the terms: 24 + -3 + 48v = -25 + 2v Combine like terms: 24 + -3 = 21 21 + 48v = -25 + 2v Solving 21 + 48v = -25 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 21 + 48v + -2v = -25 + 2v + -2v Combine like terms: 48v + -2v = 46v 21 + 46v = -25 + 2v + -2v Combine like terms: 2v + -2v = 0 21 + 46v = -25 + 0 21 + 46v = -25 Add '-21' to each side of the equation. 21 + -21 + 46v = -25 + -21 Combine like terms: 21 + -21 = 0 0 + 46v = -25 + -21 46v = -25 + -21 Combine like terms: -25 + -21 = -46 46v = -46 Divide each side by '46'. v = -1 Simplifying v = -1
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