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Simplifying 8(2v + 1) = 6v + 41 Reorder the terms: 8(1 + 2v) = 6v + 41 (1 * 8 + 2v * 8) = 6v + 41 (8 + 16v) = 6v + 41 Reorder the terms: 8 + 16v = 41 + 6v Solving 8 + 16v = 41 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 8 + 16v + -6v = 41 + 6v + -6v Combine like terms: 16v + -6v = 10v 8 + 10v = 41 + 6v + -6v Combine like terms: 6v + -6v = 0 8 + 10v = 41 + 0 8 + 10v = 41 Add '-8' to each side of the equation. 8 + -8 + 10v = 41 + -8 Combine like terms: 8 + -8 = 0 0 + 10v = 41 + -8 10v = 41 + -8 Combine like terms: 41 + -8 = 33 10v = 33 Divide each side by '10'. v = 3.3 Simplifying v = 3.3
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