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Simplifying 7(v + 3) = 3v + 37 Reorder the terms: 7(3 + v) = 3v + 37 (3 * 7 + v * 7) = 3v + 37 (21 + 7v) = 3v + 37 Reorder the terms: 21 + 7v = 37 + 3v Solving 21 + 7v = 37 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 21 + 7v + -3v = 37 + 3v + -3v Combine like terms: 7v + -3v = 4v 21 + 4v = 37 + 3v + -3v Combine like terms: 3v + -3v = 0 21 + 4v = 37 + 0 21 + 4v = 37 Add '-21' to each side of the equation. 21 + -21 + 4v = 37 + -21 Combine like terms: 21 + -21 = 0 0 + 4v = 37 + -21 4v = 37 + -21 Combine like terms: 37 + -21 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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