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Simplifying 2(8v + 8) = 9(2v + 3) Reorder the terms: 2(8 + 8v) = 9(2v + 3) (8 * 2 + 8v * 2) = 9(2v + 3) (16 + 16v) = 9(2v + 3) Reorder the terms: 16 + 16v = 9(3 + 2v) 16 + 16v = (3 * 9 + 2v * 9) 16 + 16v = (27 + 18v) Solving 16 + 16v = 27 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 16 + 16v + -18v = 27 + 18v + -18v Combine like terms: 16v + -18v = -2v 16 + -2v = 27 + 18v + -18v Combine like terms: 18v + -18v = 0 16 + -2v = 27 + 0 16 + -2v = 27 Add '-16' to each side of the equation. 16 + -16 + -2v = 27 + -16 Combine like terms: 16 + -16 = 0 0 + -2v = 27 + -16 -2v = 27 + -16 Combine like terms: 27 + -16 = 11 -2v = 11 Divide each side by '-2'. v = -5.5 Simplifying v = -5.5
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