Algebra Examples

$\frac{2}{11} z - \frac{5}{11} z + 4 - \frac{1}{11} z - 8$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{2}{11}$ and $z$ .

$\frac{2 z}{11} - \frac{5}{11} z + 4 - \frac{1}{11} z - 8$

Step 1.2

Combine $z$ and $\frac{5}{11}$ .

$\frac{2 z}{11} - \frac{z \cdot 5}{11} + 4 - \frac{1}{11} z - 8$

Step 1.3

Move $5$ to the left of $z$ .

$\frac{2 z}{11} - \frac{5 \cdot z}{11} + 4 - \frac{1}{11} z - 8$

Step 1.4

Combine $z$ and $\frac{1}{11}$ .

$\frac{2 z}{11} - \frac{5 z}{11} + 4 - \frac{z}{11} - 8$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$4 - 8 + \frac{2 z - 5 z - z}{11}$

Step 2.2

Subtract $5 z$ from $2 z$ .

$4 - 8 + \frac{- 3 z - z}{11}$

Step 2.3

Subtract $z$ from $- 3 z$ .

$4 - 8 + \frac{- 4 z}{11}$

Step 2.4

Simplify the expression.

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Step 2.4.1

Move the negative in front of the fraction.

$4 - 8 - \frac{4 z}{11}$

Step 2.4.2

Subtract $8$ from $4$ .

$- 4 - \frac{4 z}{11}$