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Simplifying -5v + 2(4v + 5) = 2v + 16 Reorder the terms: -5v + 2(5 + 4v) = 2v + 16 -5v + (5 * 2 + 4v * 2) = 2v + 16 -5v + (10 + 8v) = 2v + 16 Reorder the terms: 10 + -5v + 8v = 2v + 16 Combine like terms: -5v + 8v = 3v 10 + 3v = 2v + 16 Reorder the terms: 10 + 3v = 16 + 2v Solving 10 + 3v = 16 + 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. 10 + 3v + -2v = 16 + 2v + -2v Combine like terms: 3v + -2v = 1v 10 + 1v = 16 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + 1v = 16 + 0 10 + 1v = 16 Add '-10' to each side of the equation. 10 + -10 + 1v = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 1v = 16 + -10 1v = 16 + -10 Combine like terms: 16 + -10 = 6 1v = 6 Divide each side by '1'. v = 6 Simplifying v = 6
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