Algebra Examples

$(\frac{3}{7} m - 3 + 4 n) + (\frac{2}{7} m - 2 n + 6)$

Step 1

Remove parentheses.

$\frac{3}{7} m - 3 + 4 n + \frac{2}{7} m - 2 n + 6$

Step 2

Simplify each term.

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Step 2.1

Combine $\frac{3}{7}$ and $m$ .

$\frac{3 m}{7} - 3 + 4 n + \frac{2}{7} m - 2 n + 6$

Step 2.2

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

$\frac{3 m}{7} - 3 + 4 n + \frac{2 m}{7} - 2 n + 6$

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

$- 3 + 4 n - 2 n + 6 + \frac{3 m + 2 m}{7}$

Step 3.2

Add $3 m$ and $2 m$ .

$- 3 + 4 n - 2 n + 6 + \frac{5 m}{7}$

Step 3.3

Add $- 3$ and $6$ .

$4 n - 2 n + 3 + \frac{5 m}{7}$

Step 3.4

Subtract $2 n$ from $4 n$ .

$2 n + 3 + \frac{5 m}{7}$

Step 3.5

Simplify the expression.

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Step 3.5.1

Move $3$ .

$2 n + \frac{5 m}{7} + 3$

Step 3.5.2

Reorder $2 n$ and $\frac{5 m}{7}$ .

$\frac{5 m}{7} + 2 n + 3$