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Simplifying 7(v + 3) = 4v + 23 Reorder the terms: 7(3 + v) = 4v + 23 (3 * 7 + v * 7) = 4v + 23 (21 + 7v) = 4v + 23 Reorder the terms: 21 + 7v = 23 + 4v Solving 21 + 7v = 23 + 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. 21 + 7v + -4v = 23 + 4v + -4v Combine like terms: 7v + -4v = 3v 21 + 3v = 23 + 4v + -4v Combine like terms: 4v + -4v = 0 21 + 3v = 23 + 0 21 + 3v = 23 Add '-21' to each side of the equation. 21 + -21 + 3v = 23 + -21 Combine like terms: 21 + -21 = 0 0 + 3v = 23 + -21 3v = 23 + -21 Combine like terms: 23 + -21 = 2 3v = 2 Divide each side by '3'. v = 0.6666666667 Simplifying v = 0.6666666667
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