Solve (5p - 8q) - (- 6p - q) | 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

$$(5p-8q)-(-6p-q)$$

Evaluate

$11p-7q$

Solution Steps

To find the opposite of $-6p-q$, find the opposite of each term.

$$5p-8q-\left(-6p\right)-\left(-q\right)$$

The opposite of $-6p$ is $6p$.

$$5p-8q+6p-\left(-q\right)$$

The opposite of $-q$ is $q$.

$$5p-8q+6p+q$$

Combine $5p$ and $6p$ to get $11p$.

$$11p-8q+q$$

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

$$11p-7q$$

Expand

$11p-7q$

Solution Steps

To find the opposite of $-6p-q$, find the opposite of each term.

$$5p-8q-\left(-6p\right)-\left(-q\right)$$

The opposite of $-6p$ is $6p$.

$$5p-8q+6p-\left(-q\right)$$

The opposite of $-q$ is $q$.

$$5p-8q+6p+q$$

Combine $5p$ and $6p$ to get $11p$.

$$11p-8q+q$$

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

$$11p-7q$$