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Simplifying -9(v + 3) + 4v + 7 = 6v + 6 Reorder the terms: -9(3 + v) + 4v + 7 = 6v + 6 (3 * -9 + v * -9) + 4v + 7 = 6v + 6 (-27 + -9v) + 4v + 7 = 6v + 6 Reorder the terms: -27 + 7 + -9v + 4v = 6v + 6 Combine like terms: -27 + 7 = -20 -20 + -9v + 4v = 6v + 6 Combine like terms: -9v + 4v = -5v -20 + -5v = 6v + 6 Reorder the terms: -20 + -5v = 6 + 6v Solving -20 + -5v = 6 + 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. -20 + -5v + -6v = 6 + 6v + -6v Combine like terms: -5v + -6v = -11v -20 + -11v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -20 + -11v = 6 + 0 -20 + -11v = 6 Add '20' to each side of the equation. -20 + 20 + -11v = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -11v = 6 + 20 -11v = 6 + 20 Combine like terms: 6 + 20 = 26 -11v = 26 Divide each side by '-11'. v = -2.363636364 Simplifying v = -2.363636364
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