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Simplifying 4(8 + v) = (3v + 9) (8 * 4 + v * 4) = (3v + 9) (32 + 4v) = (3v + 9) Reorder the terms: 32 + 4v = (9 + 3v) Remove parenthesis around (9 + 3v) 32 + 4v = 9 + 3v Solving 32 + 4v = 9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 32 + 4v + -3v = 9 + 3v + -3v Combine like terms: 4v + -3v = 1v 32 + 1v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 32 + 1v = 9 + 0 32 + 1v = 9 Add '-32' to each side of the equation. 32 + -32 + 1v = 9 + -32 Combine like terms: 32 + -32 = 0 0 + 1v = 9 + -32 1v = 9 + -32 Combine like terms: 9 + -32 = -23 1v = -23 Divide each side by '1'. v = -23 Simplifying v = -23
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