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Simplifying 7(v + 3) = 2v + 31 Reorder the terms: 7(3 + v) = 2v + 31 (3 * 7 + v * 7) = 2v + 31 (21 + 7v) = 2v + 31 Reorder the terms: 21 + 7v = 31 + 2v Solving 21 + 7v = 31 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 21 + 7v + -2v = 31 + 2v + -2v Combine like terms: 7v + -2v = 5v 21 + 5v = 31 + 2v + -2v Combine like terms: 2v + -2v = 0 21 + 5v = 31 + 0 21 + 5v = 31 Add '-21' to each side of the equation. 21 + -21 + 5v = 31 + -21 Combine like terms: 21 + -21 = 0 0 + 5v = 31 + -21 5v = 31 + -21 Combine like terms: 31 + -21 = 10 5v = 10 Divide each side by '5'. v = 2 Simplifying v = 2
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