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Simplifying 2(2v + 14) = 3(4v + 4) Reorder the terms: 2(14 + 2v) = 3(4v + 4) (14 * 2 + 2v * 2) = 3(4v + 4) (28 + 4v) = 3(4v + 4) Reorder the terms: 28 + 4v = 3(4 + 4v) 28 + 4v = (4 * 3 + 4v * 3) 28 + 4v = (12 + 12v) Solving 28 + 4v = 12 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 28 + 4v + -12v = 12 + 12v + -12v Combine like terms: 4v + -12v = -8v 28 + -8v = 12 + 12v + -12v Combine like terms: 12v + -12v = 0 28 + -8v = 12 + 0 28 + -8v = 12 Add '-28' to each side of the equation. 28 + -28 + -8v = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -8v = 12 + -28 -8v = 12 + -28 Combine like terms: 12 + -28 = -16 -8v = -16 Divide each side by '-8'. v = 2 Simplifying v = 2
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