Algebra Examples

$- \frac{4}{7} p + (- \frac{2}{7} p) + \frac{1}{7}$

Step 1

Remove parentheses.

$- \frac{4}{7} p - \frac{2}{7} p + \frac{1}{7}$

Step 2

Simplify each term.

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Step 2.1

Combine $p$ and $\frac{4}{7}$ .

$- \frac{p \cdot 4}{7} - \frac{2}{7} p + \frac{1}{7}$

Step 2.2

Move $4$ to the left of $p$ .

$- \frac{4 \cdot p}{7} - \frac{2}{7} p + \frac{1}{7}$

Step 2.3

Combine $p$ and $\frac{2}{7}$ .

$- \frac{4 p}{7} - \frac{p \cdot 2}{7} + \frac{1}{7}$

Step 2.4

Move $2$ to the left of $p$ .

$- \frac{4 p}{7} - \frac{2 p}{7} + \frac{1}{7}$

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{- 4 p - 2 p + 1}{7}$

Step 3.2

Subtract $2 p$ from $- 4 p$ .

$\frac{- 6 p + 1}{7}$

Step 3.3

Factor $- 1$ out of $- 6 p$ .

$\frac{- (6 p) + 1}{7}$

Step 3.4

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- (6 p) - 1 (- 1)}{7}$

Step 3.5

Factor $- 1$ out of $- (6 p) - 1 (- 1)$ .

$\frac{- (6 p - 1)}{7}$

Step 3.6

Simplify the expression.

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Step 3.6.1

Rewrite $- (6 p - 1)$ as $- 1 (6 p - 1)$ .

$\frac{- 1 (6 p - 1)}{7}$

Step 3.6.2

Move the negative in front of the fraction.

$- \frac{6 p - 1}{7}$