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Simplifying -7v + 4v + -6 = v + 2 Reorder the terms: -6 + -7v + 4v = v + 2 Combine like terms: -7v + 4v = -3v -6 + -3v = v + 2 Reorder the terms: -6 + -3v = 2 + v Solving -6 + -3v = 2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -6 + -3v + -1v = 2 + v + -1v Combine like terms: -3v + -1v = -4v -6 + -4v = 2 + v + -1v Combine like terms: v + -1v = 0 -6 + -4v = 2 + 0 -6 + -4v = 2 Add '6' to each side of the equation. -6 + 6 + -4v = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = 2 + 6 -4v = 2 + 6 Combine like terms: 2 + 6 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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