Solve - (b - z) - (- 2b + z) - (- 3b - z) | 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

$$-(b-z)-(-2b+z)-(-3b-z)$$

Evaluate

$z+4b$

Solution Steps

To find the opposite of $b-z$, find the opposite of each term.

$$-b-\left(-z\right)-\left(-2b+z\right)-\left(-3b-z\right)$$

The opposite of $-z$ is $z$.

$$-b+z-\left(-2b+z\right)-\left(-3b-z\right)$$

To find the opposite of $-2b+z$, find the opposite of each term.

$$-b+z-\left(-2b\right)-z-\left(-3b-z\right)$$

The opposite of $-2b$ is $2b$.

$$-b+z+2b-z-\left(-3b-z\right)$$

Combine $-b$ and $2b$ to get $b$.

$$b+z-z-\left(-3b-z\right)$$

Combine $z$ and $-z$ to get $0$.

$$b-\left(-3b-z\right)$$

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

$$b-\left(-3b\right)-\left(-z\right)$$

The opposite of $-3b$ is $3b$.

$$b+3b-\left(-z\right)$$

The opposite of $-z$ is $z$.

$$b+3b+z$$

Combine $b$ and $3b$ to get $4b$.

$$4b+z$$

Expand

$z+4b$

Solution Steps

To find the opposite of $b-z$, find the opposite of each term.

$$-b-\left(-z\right)-\left(-2b+z\right)-\left(-3b-z\right)$$

The opposite of $-z$ is $z$.

$$-b+z-\left(-2b+z\right)-\left(-3b-z\right)$$

To find the opposite of $-2b+z$, find the opposite of each term.

$$-b+z-\left(-2b\right)-z-\left(-3b-z\right)$$

The opposite of $-2b$ is $2b$.

$$-b+z+2b-z-\left(-3b-z\right)$$

Combine $-b$ and $2b$ to get $b$.

$$b+z-z-\left(-3b-z\right)$$

Combine $z$ and $-z$ to get $0$.

$$b-\left(-3b-z\right)$$

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

$$b-\left(-3b\right)-\left(-z\right)$$

The opposite of $-3b$ is $3b$.

$$b+3b-\left(-z\right)$$

The opposite of $-z$ is $z$.

$$b+3b+z$$

Combine $b$ and $3b$ to get $4b$.

$$4b+z$$