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Simplifying 30 = 3(v + 7) + 6v Reorder the terms: 30 = 3(7 + v) + 6v 30 = (7 * 3 + v * 3) + 6v 30 = (21 + 3v) + 6v Combine like terms: 3v + 6v = 9v 30 = 21 + 9v Solving 30 = 21 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 30 + -9v = 21 + 9v + -9v Combine like terms: 9v + -9v = 0 30 + -9v = 21 + 0 30 + -9v = 21 Add '-30' to each side of the equation. 30 + -30 + -9v = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -9v = 21 + -30 -9v = 21 + -30 Combine like terms: 21 + -30 = -9 -9v = -9 Divide each side by '-9'. v = 1 Simplifying v = 1
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