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Simplifying 2(7v + 7) = 28 + 7v Reorder the terms: 2(7 + 7v) = 28 + 7v (7 * 2 + 7v * 2) = 28 + 7v (14 + 14v) = 28 + 7v Solving 14 + 14v = 28 + 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. 14 + 14v + -7v = 28 + 7v + -7v Combine like terms: 14v + -7v = 7v 14 + 7v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 14 + 7v = 28 + 0 14 + 7v = 28 Add '-14' to each side of the equation. 14 + -14 + 7v = 28 + -14 Combine like terms: 14 + -14 = 0 0 + 7v = 28 + -14 7v = 28 + -14 Combine like terms: 28 + -14 = 14 7v = 14 Divide each side by '7'. v = 2 Simplifying v = 2
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