How to solve 8(2m-n)-5(m-n)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 8(2m-n)-5(m-n) | Equatix

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$8(2m-n)-5(m-n)$$

Evaluate

$11m-3n$

Solution Steps

Use the distributive property to multiply $8$ by $2m-n$.

$$16m-8n-5\left(m-n\right)$$

Use the distributive property to multiply $-5$ by $m-n$.

$$16m-8n-5m+5n$$

Combine $16m$ and $-5m$ to get $11m$.

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

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

$$11m-3n$$

Show Solution

Expand

$11m-3n$

Solution Steps

Use the distributive property to multiply $8$ by $2m-n$.

$$16m-8n-5\left(m-n\right)$$

Use the distributive property to multiply $-5$ by $m-n$.

$$16m-8n-5m+5n$$

Combine $16m$ and $-5m$ to get $11m$.

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

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

$$11m-3n$$

Show Solution

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Solution Steps