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Simplifying -4v + -11 = -9(v + 4) Reorder the terms: -11 + -4v = -9(v + 4) Reorder the terms: -11 + -4v = -9(4 + v) -11 + -4v = (4 * -9 + v * -9) -11 + -4v = (-36 + -9v) Solving -11 + -4v = -36 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -11 + -4v + 9v = -36 + -9v + 9v Combine like terms: -4v + 9v = 5v -11 + 5v = -36 + -9v + 9v Combine like terms: -9v + 9v = 0 -11 + 5v = -36 + 0 -11 + 5v = -36 Add '11' to each side of the equation. -11 + 11 + 5v = -36 + 11 Combine like terms: -11 + 11 = 0 0 + 5v = -36 + 11 5v = -36 + 11 Combine like terms: -36 + 11 = -25 5v = -25 Divide each side by '5'. v = -5 Simplifying v = -5
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