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Simplifying -9(v + 4) + 4v + 5 = 6v + 12 Reorder the terms: -9(4 + v) + 4v + 5 = 6v + 12 (4 * -9 + v * -9) + 4v + 5 = 6v + 12 (-36 + -9v) + 4v + 5 = 6v + 12 Reorder the terms: -36 + 5 + -9v + 4v = 6v + 12 Combine like terms: -36 + 5 = -31 -31 + -9v + 4v = 6v + 12 Combine like terms: -9v + 4v = -5v -31 + -5v = 6v + 12 Reorder the terms: -31 + -5v = 12 + 6v Solving -31 + -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. -31 + -5v + -6v = 12 + 6v + -6v Combine like terms: -5v + -6v = -11v -31 + -11v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -31 + -11v = 12 + 0 -31 + -11v = 12 Add '31' to each side of the equation. -31 + 31 + -11v = 12 + 31 Combine like terms: -31 + 31 = 0 0 + -11v = 12 + 31 -11v = 12 + 31 Combine like terms: 12 + 31 = 43 -11v = 43 Divide each side by '-11'. v = -3.909090909 Simplifying v = -3.909090909
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