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Simplifying 1 + 6 + 3v = 4v + 9 Combine like terms: 1 + 6 = 7 7 + 3v = 4v + 9 Reorder the terms: 7 + 3v = 9 + 4v Solving 7 + 3v = 9 + 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. 7 + 3v + -4v = 9 + 4v + -4v Combine like terms: 3v + -4v = -1v 7 + -1v = 9 + 4v + -4v Combine like terms: 4v + -4v = 0 7 + -1v = 9 + 0 7 + -1v = 9 Add '-7' to each side of the equation. 7 + -7 + -1v = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 9 + -7 -1v = 9 + -7 Combine like terms: 9 + -7 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2
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