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Simplifying -9(v + 2) + 4v + 5 = 6v + 12 Reorder the terms: -9(2 + v) + 4v + 5 = 6v + 12 (2 * -9 + v * -9) + 4v + 5 = 6v + 12 (-18 + -9v) + 4v + 5 = 6v + 12 Reorder the terms: -18 + 5 + -9v + 4v = 6v + 12 Combine like terms: -18 + 5 = -13 -13 + -9v + 4v = 6v + 12 Combine like terms: -9v + 4v = -5v -13 + -5v = 6v + 12 Reorder the terms: -13 + -5v = 12 + 6v Solving -13 + -5v = 12 + 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. -13 + -5v + -6v = 12 + 6v + -6v Combine like terms: -5v + -6v = -11v -13 + -11v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -13 + -11v = 12 + 0 -13 + -11v = 12 Add '13' to each side of the equation. -13 + 13 + -11v = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -11v = 12 + 13 -11v = 12 + 13 Combine like terms: 12 + 13 = 25 -11v = 25 Divide each side by '-11'. v = -2.272727273 Simplifying v = -2.272727273
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