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Simplifying (-7) + (-3v) = 6 + v -7 + (-3v) = 6 + v Solving -7 + (-3v) = 6 + 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. -7 + (-3v) + -1v = 6 + v + -1v Combine like terms: (-3v) + -1v = -4v -7 + -4v = 6 + v + -1v Combine like terms: v + -1v = 0 -7 + -4v = 6 + 0 -7 + -4v = 6 Add '7' to each side of the equation. -7 + 7 + -4v = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -4v = 6 + 7 -4v = 6 + 7 Combine like terms: 6 + 7 = 13 -4v = 13 Divide each side by '-4'. v = -3.25 Simplifying v = -3.25
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