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Simplifying 2 + 2v = 4 + 4(v + 3) Reorder the terms: 2 + 2v = 4 + 4(3 + v) 2 + 2v = 4 + (3 * 4 + v * 4) 2 + 2v = 4 + (12 + 4v) Combine like terms: 4 + 12 = 16 2 + 2v = 16 + 4v Solving 2 + 2v = 16 + 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. 2 + 2v + -4v = 16 + 4v + -4v Combine like terms: 2v + -4v = -2v 2 + -2v = 16 + 4v + -4v Combine like terms: 4v + -4v = 0 2 + -2v = 16 + 0 2 + -2v = 16 Add '-2' to each side of the equation. 2 + -2 + -2v = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = 16 + -2 -2v = 16 + -2 Combine like terms: 16 + -2 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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