Algebra Examples

$(7 m + 3 n - 11 - 2 m) + (n + 5 - - m - 3 n + 8)$

Step 1

Replace all occurrences of $-$ $-$ with a single $+$ . Two consecutive minus signs have the same mathematical meaning as a single plus sign because $- 1 \cdot - 1 = 1$

$7 m + 3 n - 11 - 2 m + n + 5 + m - 3 n + 8$

Step 2

Remove parentheses.

$7 m + 3 n - 11 - 2 m + n + 5 + m - 3 n + 8$

Step 3

Combine the opposite terms in $7 m + 3 n - 11 - 2 m + n + 5 + m - 3 n + 8$ .

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Step 3.1

Subtract $3 n$ from $3 n$ .

$7 m - 11 - 2 m + n + 5 + m + 0 + 8$

Step 3.2

Add $7 m - 11 - 2 m + n + 5 + m$ and $0$ .

$7 m - 11 - 2 m + n + 5 + m + 8$

Step 4

Subtract $2 m$ from $7 m$ .

$5 m - 11 + n + 5 + m + 8$

Step 5

Add $5 m$ and $m$ .

$6 m - 11 + n + 5 + 8$

Step 6

Simplify by adding numbers.

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Step 6.1

Add $- 11$ and $5$ .

$6 m + n - 6 + 8$

Step 6.2

Add $- 6$ and $8$ .

$6 m + n + 2$