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Simplifying 7(v + 4) = 4v + 34 Reorder the terms: 7(4 + v) = 4v + 34 (4 * 7 + v * 7) = 4v + 34 (28 + 7v) = 4v + 34 Reorder the terms: 28 + 7v = 34 + 4v Solving 28 + 7v = 34 + 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. 28 + 7v + -4v = 34 + 4v + -4v Combine like terms: 7v + -4v = 3v 28 + 3v = 34 + 4v + -4v Combine like terms: 4v + -4v = 0 28 + 3v = 34 + 0 28 + 3v = 34 Add '-28' to each side of the equation. 28 + -28 + 3v = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 3v = 34 + -28 3v = 34 + -28 Combine like terms: 34 + -28 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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