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Simplifying -9(v + 2) + 4v + 6 = 6v + 7 Reorder the terms: -9(2 + v) + 4v + 6 = 6v + 7 (2 * -9 + v * -9) + 4v + 6 = 6v + 7 (-18 + -9v) + 4v + 6 = 6v + 7 Reorder the terms: -18 + 6 + -9v + 4v = 6v + 7 Combine like terms: -18 + 6 = -12 -12 + -9v + 4v = 6v + 7 Combine like terms: -9v + 4v = -5v -12 + -5v = 6v + 7 Reorder the terms: -12 + -5v = 7 + 6v Solving -12 + -5v = 7 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -12 + -5v + -6v = 7 + 6v + -6v Combine like terms: -5v + -6v = -11v -12 + -11v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + -11v = 7 + 0 -12 + -11v = 7 Add '12' to each side of the equation. -12 + 12 + -11v = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -11v = 7 + 12 -11v = 7 + 12 Combine like terms: 7 + 12 = 19 -11v = 19 Divide each side by '-11'. v = -1.727272727 Simplifying v = -1.727272727
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