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Simplifying 3(7 + 4v) + 7(4 + 7v) = 49 (7 * 3 + 4v * 3) + 7(4 + 7v) = 49 (21 + 12v) + 7(4 + 7v) = 49 21 + 12v + (4 * 7 + 7v * 7) = 49 21 + 12v + (28 + 49v) = 49 Reorder the terms: 21 + 28 + 12v + 49v = 49 Combine like terms: 21 + 28 = 49 49 + 12v + 49v = 49 Combine like terms: 12v + 49v = 61v 49 + 61v = 49 Add '-49' to each side of the equation. 49 + -49 + 61v = 49 + -49 Combine like terms: 49 + -49 = 0 0 + 61v = 49 + -49 61v = 49 + -49 Combine like terms: 49 + -49 = 0 61v = 0 Solving 61v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '61'. v = 0 Simplifying v = 0
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