Solve - 7m - [3n - \{8m - (4n - 10m)\}]

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Question

$$-7m-[3n-\{8m-(4n-10m)\}]$$

Evaluate

$11m-7n$

Solution Steps

To find the opposite of $4n-10m$, find the opposite of each term.

$$-7m-\left(3n-\left(8m-4n-\left(-10m\right)\right)\right)$$

The opposite of $-10m$ is $10m$.

$$-7m-\left(3n-\left(8m-4n+10m\right)\right)$$

Combine $8m$ and $10m$ to get $18m$.

$$-7m-\left(3n-\left(18m-4n\right)\right)$$

To find the opposite of $18m-4n$, find the opposite of each term.

$$-7m-\left(3n-18m-\left(-4n\right)\right)$$

The opposite of $-4n$ is $4n$.

$$-7m-\left(3n-18m+4n\right)$$

Combine $3n$ and $4n$ to get $7n$.

$$-7m-\left(7n-18m\right)$$

To find the opposite of $7n-18m$, find the opposite of each term.

$$-7m-7n-\left(-18m\right)$$

The opposite of $-18m$ is $18m$.

$$-7m-7n+18m$$

Combine $-7m$ and $18m$ to get $11m$.

$$11m-7n$$

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$11m-7n$

Solution Steps

To find the opposite of $4n-10m$, find the opposite of each term.

$$-7m-\left(3n-\left(8m-4n-\left(-10m\right)\right)\right)$$

The opposite of $-10m$ is $10m$.

$$-7m-\left(3n-\left(8m-4n+10m\right)\right)$$

Combine $8m$ and $10m$ to get $18m$.

$$-7m-\left(3n-\left(18m-4n\right)\right)$$

To find the opposite of $18m-4n$, find the opposite of each term.

$$-7m-\left(3n-18m-\left(-4n\right)\right)$$

The opposite of $-4n$ is $4n$.

$$-7m-\left(3n-18m+4n\right)$$

Combine $3n$ and $4n$ to get $7n$.

$$-7m-\left(7n-18m\right)$$

To find the opposite of $7n-18m$, find the opposite of each term.

$$-7m-7n-\left(-18m\right)$$

The opposite of $-18m$ is $18m$.

$$-7m-7n+18m$$

Combine $-7m$ and $18m$ to get $11m$.

$$11m-7n$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

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Solution Steps