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Simplifying 7v + 9 = 3(v + 7) Reorder the terms: 9 + 7v = 3(v + 7) Reorder the terms: 9 + 7v = 3(7 + v) 9 + 7v = (7 * 3 + v * 3) 9 + 7v = (21 + 3v) Solving 9 + 7v = 21 + 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. 9 + 7v + -3v = 21 + 3v + -3v Combine like terms: 7v + -3v = 4v 9 + 4v = 21 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + 4v = 21 + 0 9 + 4v = 21 Add '-9' to each side of the equation. 9 + -9 + 4v = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = 21 + -9 4v = 21 + -9 Combine like terms: 21 + -9 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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