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Simplifying 1 + 4v = 6v + -7 Reorder the terms: 1 + 4v = -7 + 6v Solving 1 + 4v = -7 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 1 + 4v + -6v = -7 + 6v + -6v Combine like terms: 4v + -6v = -2v 1 + -2v = -7 + 6v + -6v Combine like terms: 6v + -6v = 0 1 + -2v = -7 + 0 1 + -2v = -7 Add '-1' to each side of the equation. 1 + -1 + -2v = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = -7 + -1 -2v = -7 + -1 Combine like terms: -7 + -1 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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