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Simplifying 4 + -4v + 7 = 4v + -5 Reorder the terms: 4 + 7 + -4v = 4v + -5 Combine like terms: 4 + 7 = 11 11 + -4v = 4v + -5 Reorder the terms: 11 + -4v = -5 + 4v Solving 11 + -4v = -5 + 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. 11 + -4v + -4v = -5 + 4v + -4v Combine like terms: -4v + -4v = -8v 11 + -8v = -5 + 4v + -4v Combine like terms: 4v + -4v = 0 11 + -8v = -5 + 0 11 + -8v = -5 Add '-11' to each side of the equation. 11 + -11 + -8v = -5 + -11 Combine like terms: 11 + -11 = 0 0 + -8v = -5 + -11 -8v = -5 + -11 Combine like terms: -5 + -11 = -16 -8v = -16 Divide each side by '-8'. v = 2 Simplifying v = 2
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