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Simplifying 2v + 14 = 4(v + 1) Reorder the terms: 14 + 2v = 4(v + 1) Reorder the terms: 14 + 2v = 4(1 + v) 14 + 2v = (1 * 4 + v * 4) 14 + 2v = (4 + 4v) Solving 14 + 2v = 4 + 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. 14 + 2v + -4v = 4 + 4v + -4v Combine like terms: 2v + -4v = -2v 14 + -2v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 14 + -2v = 4 + 0 14 + -2v = 4 Add '-14' to each side of the equation. 14 + -14 + -2v = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = 4 + -14 -2v = 4 + -14 Combine like terms: 4 + -14 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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