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Simplifying 3v + 7 = 9v + 49 Reorder the terms: 7 + 3v = 9v + 49 Reorder the terms: 7 + 3v = 49 + 9v Solving 7 + 3v = 49 + 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. 7 + 3v + -9v = 49 + 9v + -9v Combine like terms: 3v + -9v = -6v 7 + -6v = 49 + 9v + -9v Combine like terms: 9v + -9v = 0 7 + -6v = 49 + 0 7 + -6v = 49 Add '-7' to each side of the equation. 7 + -7 + -6v = 49 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = 49 + -7 -6v = 49 + -7 Combine like terms: 49 + -7 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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