Solve 4(2p+3q-4)-3(p+3q+4) | 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

$$4(2p+3q-4)-3(p+3q+4)$$

Evaluate

$5p+3q-28$

Solution Steps

Use the distributive property to multiply $4$ by $2p+3q-4$.

$$8p+12q-16-3\left(p+3q+4\right)$$

Use the distributive property to multiply $-3$ by $p+3q+4$.

$$8p+12q-16-3p-9q-12$$

Combine $8p$ and $-3p$ to get $5p$.

$$5p+12q-16-9q-12$$

Combine $12q$ and $-9q$ to get $3q$.

$$5p+3q-16-12$$

Subtract $12$ from $-16$ to get $-28$.

$$5p+3q-28$$

Expand

$5p+3q-28$

Solution Steps

Use the distributive property to multiply $4$ by $2p+3q-4$.

$$8p+12q-16-3\left(p+3q+4\right)$$

Use the distributive property to multiply $-3$ by $p+3q+4$.

$$8p+12q-16-3p-9q-12$$

Combine $8p$ and $-3p$ to get $5p$.

$$5p+12q-16-9q-12$$

Combine $12q$ and $-9q$ to get $3q$.

$$5p+3q-16-12$$

Subtract $12$ from $-16$ to get $-28$.

$$5p+3q-28$$