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Simplifying 3(2 + v) = 5v + 16 (2 * 3 + v * 3) = 5v + 16 (6 + 3v) = 5v + 16 Reorder the terms: 6 + 3v = 16 + 5v Solving 6 + 3v = 16 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 6 + 3v + -5v = 16 + 5v + -5v Combine like terms: 3v + -5v = -2v 6 + -2v = 16 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + -2v = 16 + 0 6 + -2v = 16 Add '-6' to each side of the equation. 6 + -6 + -2v = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -2v = 16 + -6 -2v = 16 + -6 Combine like terms: 16 + -6 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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