Solve 3(2e-f+3g)-(5e-3f-7g) | 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

$$3(2e-f+3g)-(5e-3f-7g)$$

Evaluate

$16g+e$

Solution Steps

Use the distributive property to multiply $3$ by $2e-f+3g$.

$$6e-3f+9g-\left(5e-3f-7g\right)$$

To find the opposite of $5e-3f-7g$, find the opposite of each term.

$$6e-3f+9g-5e-\left(-3f\right)-\left(-7g\right)$$

Combine $6e$ and $-5e$ to get $e$.

$$e-3f+9g-\left(-3f\right)-\left(-7g\right)$$

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

$$e-3f+9g+3f-\left(-7g\right)$$

Combine $-3f$ and $3f$ to get $0$.

$$e+9g-\left(-7g\right)$$

The opposite of $-7g$ is $7g$.

$$e+9g+7g$$

Combine $9g$ and $7g$ to get $16g$.

$$e+16g$$

Expand

$16g+e$

Solution Steps

Use the distributive property to multiply $3$ by $2e-f+3g$.

$$6e-3f+9g-\left(5e-3f-7g\right)$$

To find the opposite of $5e-3f-7g$, find the opposite of each term.

$$6e-3f+9g-5e-\left(-3f\right)-\left(-7g\right)$$

Combine $6e$ and $-5e$ to get $e$.

$$e-3f+9g-\left(-3f\right)-\left(-7g\right)$$

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

$$e-3f+9g+3f-\left(-7g\right)$$

Combine $-3f$ and $3f$ to get $0$.

$$e+9g-\left(-7g\right)$$

The opposite of $-7g$ is $7g$.

$$e+9g+7g$$

Combine $9g$ and $7g$ to get $16g$.

$$e+16g$$