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Simplifying 8(2v + 1) = 4(2v + 2) Reorder the terms: 8(1 + 2v) = 4(2v + 2) (1 * 8 + 2v * 8) = 4(2v + 2) (8 + 16v) = 4(2v + 2) Reorder the terms: 8 + 16v = 4(2 + 2v) 8 + 16v = (2 * 4 + 2v * 4) 8 + 16v = (8 + 8v) Add '-8' to each side of the equation. 8 + -8 + 16v = 8 + -8 + 8v Combine like terms: 8 + -8 = 0 0 + 16v = 8 + -8 + 8v 16v = 8 + -8 + 8v Combine like terms: 8 + -8 = 0 16v = 0 + 8v 16v = 8v Solving 16v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 16v + -8v = 8v + -8v Combine like terms: 16v + -8v = 8v 8v = 8v + -8v Combine like terms: 8v + -8v = 0 8v = 0 Divide each side by '8'. v = 0 Simplifying v = 0
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