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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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