Solve (1+5m)-7(1-4m)-(3-m) | 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

$$(1+5m)-7(1-4m)-(3-m)$$

Evaluate

$34m-9$

Solution Steps

Use the distributive property to multiply $-7$ by $1-4m$.

$$1+5m-7+28m-\left(3-m\right)$$

Subtract $7$ from $1$ to get $-6$.

$$-6+5m+28m-\left(3-m\right)$$

Combine $5m$ and $28m$ to get $33m$.

$$-6+33m-\left(3-m\right)$$

To find the opposite of $3-m$, find the opposite of each term.

$$-6+33m-3-\left(-m\right)$$

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

$$-6+33m-3+m$$

Subtract $3$ from $-6$ to get $-9$.

$$-9+33m+m$$

Combine $33m$ and $m$ to get $34m$.

$$-9+34m$$

Expand

$34m-9$

Solution Steps

Use the distributive property to multiply $-7$ by $1-4m$.

$$1+5m-7+28m-\left(3-m\right)$$

Subtract $7$ from $1$ to get $-6$.

$$-6+5m+28m-\left(3-m\right)$$

Combine $5m$ and $28m$ to get $33m$.

$$-6+33m-\left(3-m\right)$$

To find the opposite of $3-m$, find the opposite of each term.

$$-6+33m-3-\left(-m\right)$$

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

$$-6+33m-3+m$$

Subtract $3$ from $-6$ to get $-9$.

$$-9+33m+m$$

Combine $33m$ and $m$ to get $34m$.

$$-9+34m$$