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Simplifying 6v + 3 = 3(v + 7) Reorder the terms: 3 + 6v = 3(v + 7) Reorder the terms: 3 + 6v = 3(7 + v) 3 + 6v = (7 * 3 + v * 3) 3 + 6v = (21 + 3v) Solving 3 + 6v = 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. 3 + 6v + -3v = 21 + 3v + -3v Combine like terms: 6v + -3v = 3v 3 + 3v = 21 + 3v + -3v Combine like terms: 3v + -3v = 0 3 + 3v = 21 + 0 3 + 3v = 21 Add '-3' to each side of the equation. 3 + -3 + 3v = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 3v = 21 + -3 3v = 21 + -3 Combine like terms: 21 + -3 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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