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Simplifying 1 + 3v = 1 + 4v + 7 Reorder the terms: 1 + 3v = 1 + 7 + 4v Combine like terms: 1 + 7 = 8 1 + 3v = 8 + 4v Solving 1 + 3v = 8 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 1 + 3v + -4v = 8 + 4v + -4v Combine like terms: 3v + -4v = -1v 1 + -1v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 1 + -1v = 8 + 0 1 + -1v = 8 Add '-1' to each side of the equation. 1 + -1 + -1v = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 8 + -1 -1v = 8 + -1 Combine like terms: 8 + -1 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7
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