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