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Simplifying 6v + 16 = 4(v + 3) Reorder the terms: 16 + 6v = 4(v + 3) Reorder the terms: 16 + 6v = 4(3 + v) 16 + 6v = (3 * 4 + v * 4) 16 + 6v = (12 + 4v) Solving 16 + 6v = 12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 16 + 6v + -4v = 12 + 4v + -4v Combine like terms: 6v + -4v = 2v 16 + 2v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 16 + 2v = 12 + 0 16 + 2v = 12 Add '-16' to each side of the equation. 16 + -16 + 2v = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 2v = 12 + -16 2v = 12 + -16 Combine like terms: 12 + -16 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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