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Simplifying 3(4v + 2) = 21 + 7v Reorder the terms: 3(2 + 4v) = 21 + 7v (2 * 3 + 4v * 3) = 21 + 7v (6 + 12v) = 21 + 7v Solving 6 + 12v = 21 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 6 + 12v + -7v = 21 + 7v + -7v Combine like terms: 12v + -7v = 5v 6 + 5v = 21 + 7v + -7v Combine like terms: 7v + -7v = 0 6 + 5v = 21 + 0 6 + 5v = 21 Add '-6' to each side of the equation. 6 + -6 + 5v = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5v = 21 + -6 5v = 21 + -6 Combine like terms: 21 + -6 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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