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Simplifying 7 + v(-3) = -6 + v Reorder the terms for easier multiplication: 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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