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Simplifying 3(7 + 3v) + -7 = 8v + 9 (7 * 3 + 3v * 3) + -7 = 8v + 9 (21 + 9v) + -7 = 8v + 9 Reorder the terms: 21 + -7 + 9v = 8v + 9 Combine like terms: 21 + -7 = 14 14 + 9v = 8v + 9 Reorder the terms: 14 + 9v = 9 + 8v Solving 14 + 9v = 9 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 14 + 9v + -8v = 9 + 8v + -8v Combine like terms: 9v + -8v = 1v 14 + 1v = 9 + 8v + -8v Combine like terms: 8v + -8v = 0 14 + 1v = 9 + 0 14 + 1v = 9 Add '-14' to each side of the equation. 14 + -14 + 1v = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 1v = 9 + -14 1v = 9 + -14 Combine like terms: 9 + -14 = -5 1v = -5 Divide each side by '1'. v = -5 Simplifying v = -5
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