Solve 8p -7m-2n-5-(-8m-n+1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$- 7 m - 2 n - 5 - ( - 8 m - n + 1$$

Evaluate

$m-n-6$

Solution Steps

To find the opposite of $-8m-n+1$, find the opposite of each term.

$$-7m-2n-5-\left(-8m\right)-\left(-n\right)-1$$

The opposite of $-8m$ is $8m$.

$$-7m-2n-5+8m-\left(-n\right)-1$$

The opposite of $-n$ is $n$.

$$-7m-2n-5+8m+n-1$$

Combine $-7m$ and $8m$ to get $m$.

$$m-2n-5+n-1$$

Combine $-2n$ and $n$ to get $-n$.

$$m-n-5-1$$

Subtract $1$ from $-5$ to get $-6$.

$$m-n-6$$

Expand

$m-n-6$

Solution Steps

To find the opposite of $-8m-n+1$, find the opposite of each term.

$$-7m-2n-5-\left(-8m\right)-\left(-n\right)-1$$

The opposite of $-8m$ is $8m$.

$$-7m-2n-5+8m-\left(-n\right)-1$$

The opposite of $-n$ is $n$.

$$-7m-2n-5+8m+n-1$$

Combine $-7m$ and $8m$ to get $m$.

$$m-2n-5+n-1$$

Combine $-2n$ and $n$ to get $-n$.

$$m-n-5-1$$

Subtract $1$ from $-5$ to get $-6$.

$$m-n-6$$