Correctly order the steps used to solve this equation

-2(4+n)=24

1 answer

To solve the equation \(-2(4+n)=24\), you can follow these steps in order:

  1. Distribute the \(-2\): \[ -2 \cdot 4 - 2 \cdot n = 24 \] This simplifies to: \[ -8 - 2n = 24 \]

  2. Add 8 to both sides: \[ -2n = 24 + 8 \] This simplifies to: \[ -2n = 32 \]

  3. Divide both sides by \(-2\): \[ n = \frac{32}{-2} \] So, this simplifies to: \[ n = -16 \]

The ordered steps are:

  1. Distribute the \(-2\).
  2. Add 8 to both sides.
  3. Divide both sides by \(-2\).

Thus, \(n = -16\) is the solution to the equation.

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