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Simplifying -9(v + 4) + 4v + 6 = 6v + 7 Reorder the terms: -9(4 + v) + 4v + 6 = 6v + 7 (4 * -9 + v * -9) + 4v + 6 = 6v + 7 (-36 + -9v) + 4v + 6 = 6v + 7 Reorder the terms: -36 + 6 + -9v + 4v = 6v + 7 Combine like terms: -36 + 6 = -30 -30 + -9v + 4v = 6v + 7 Combine like terms: -9v + 4v = -5v -30 + -5v = 6v + 7 Reorder the terms: -30 + -5v = 7 + 6v Solving -30 + -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. -30 + -5v + -6v = 7 + 6v + -6v Combine like terms: -5v + -6v = -11v -30 + -11v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -30 + -11v = 7 + 0 -30 + -11v = 7 Add '30' to each side of the equation. -30 + 30 + -11v = 7 + 30 Combine like terms: -30 + 30 = 0 0 + -11v = 7 + 30 -11v = 7 + 30 Combine like terms: 7 + 30 = 37 -11v = 37 Divide each side by '-11'. v = -3.363636364 Simplifying v = -3.363636364
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