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Simplifying -3v + 7 = -1v + 49 Reorder the terms: 7 + -3v = -1v + 49 Reorder the terms: 7 + -3v = 49 + -1v Solving 7 + -3v = 49 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 7 + -3v + v = 49 + -1v + v Combine like terms: -3v + v = -2v 7 + -2v = 49 + -1v + v Combine like terms: -1v + v = 0 7 + -2v = 49 + 0 7 + -2v = 49 Add '-7' to each side of the equation. 7 + -7 + -2v = 49 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 49 + -7 -2v = 49 + -7 Combine like terms: 49 + -7 = 42 -2v = 42 Divide each side by '-2'. v = -21 Simplifying v = -21
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