Algebra Examples

m = - (4 + m) + 2

$m = - (4 + m) + 2$

Step 1

Simplify

- (4 + m) + 2

$- (4 + m) + 2$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

m = - 1 \cdot 4 - m + 2

$m = - 1 \cdot 4 - m + 2$

Step 1.1.2

Multiply

- 1

$- 1$ by

4

$4$ .

m = - 4 - m + 2

$m = - 4 - m + 2$

m = - 4 - m + 2

$m = - 4 - m + 2$

Step 1.2

Add

- 4

$- 4$ and

2

$2$ .

m = - m - 2

$m = - m - 2$

m = - m - 2

$m = - m - 2$

Step 2

Move all terms containing

m

$m$ to the left side of the equation.

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Step 2.1

Add

m

$m$ to both sides of the equation.

m + m = - 2

$m + m = - 2$

Step 2.2

Add

m

$m$ and

m

$m$ .

2 m = - 2

$2 m = - 2$

2 m = - 2

$2 m = - 2$

Step 3

Divide each term in

2 m = - 2

$2 m = - 2$ by

2

$2$ and simplify.

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Step 3.1

Divide each term in

2 m = - 2

$2 m = - 2$ by

2

$2$ .

\frac{2 m}{2} = \frac{- 2}{2}

$\frac{2 m}{2} = \frac{- 2}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

2

$2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 m}{2} = \frac{- 2}{2}$

Step 3.2.1.2

Divide

$m$ by

$1$ .

$m = \frac{- 2}{2}$

$m = \frac{- 2}{2}$

$m = \frac{- 2}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 2$ by

$2$ .

$m = - 1$

$m = - 1$

$m = - 1$

$m = - (4 + m) + 2$

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