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