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Simplifying 2v + 12 = 4(v + 2) Reorder the terms: 12 + 2v = 4(v + 2) Reorder the terms: 12 + 2v = 4(2 + v) 12 + 2v = (2 * 4 + v * 4) 12 + 2v = (8 + 4v) Solving 12 + 2v = 8 + 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. 12 + 2v + -4v = 8 + 4v + -4v Combine like terms: 2v + -4v = -2v 12 + -2v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 12 + -2v = 8 + 0 12 + -2v = 8 Add '-12' to each side of the equation. 12 + -12 + -2v = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 8 + -12 -2v = 8 + -12 Combine like terms: 8 + -12 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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