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Simplifying 2v + 16 = 6(v + 2) Reorder the terms: 16 + 2v = 6(v + 2) Reorder the terms: 16 + 2v = 6(2 + v) 16 + 2v = (2 * 6 + v * 6) 16 + 2v = (12 + 6v) Solving 16 + 2v = 12 + 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. 16 + 2v + -6v = 12 + 6v + -6v Combine like terms: 2v + -6v = -4v 16 + -4v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 16 + -4v = 12 + 0 16 + -4v = 12 Add '-16' to each side of the equation. 16 + -16 + -4v = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -4v = 12 + -16 -4v = 12 + -16 Combine like terms: 12 + -16 = -4 -4v = -4 Divide each side by '-4'. v = 1 Simplifying v = 1
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