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Simplifying -4(v + 2) = -9(v + 7) Reorder the terms: -4(2 + v) = -9(v + 7) (2 * -4 + v * -4) = -9(v + 7) (-8 + -4v) = -9(v + 7) Reorder the terms: -8 + -4v = -9(7 + v) -8 + -4v = (7 * -9 + v * -9) -8 + -4v = (-63 + -9v) Solving -8 + -4v = -63 + -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. -8 + -4v + 9v = -63 + -9v + 9v Combine like terms: -4v + 9v = 5v -8 + 5v = -63 + -9v + 9v Combine like terms: -9v + 9v = 0 -8 + 5v = -63 + 0 -8 + 5v = -63 Add '8' to each side of the equation. -8 + 8 + 5v = -63 + 8 Combine like terms: -8 + 8 = 0 0 + 5v = -63 + 8 5v = -63 + 8 Combine like terms: -63 + 8 = -55 5v = -55 Divide each side by '5'. v = -11 Simplifying v = -11
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