Question

How to solve -2(-4f+5)=-7+2f-9

Answer 1

Answer:

$f=\frac{3}{5}$

Step-by-step explanation:

$-2(4f+5)=-7+2f-9$

First, use PEMDAS to distribute the -2 to the parenthesis.

$-8f -10 = -7+2f -9$

Combine like terms on the right side.

$-8f - 10 = -16+2f$

Now, you may either subtract the f's or the constants. I'll subtract the constants first, meaning I will add 10 to both sides.

$-8f = -6 + 2f$

Now subtract the 2f from both sides.

$-10f = -6$

Divide both sides by 10.

$f = \frac{-6}{-10}$

Simplify.

$f = \frac{3}{5}$

Answer 2

Answer:

The value of f:

• $f=-1$

Step-by-step explanation:

Given the expression

$-2\left(-4f+5\right)=-7+2f-9$

Group like terms

$-2\left(-4f+5\right)=2f-7-9$

Subtract the numbers: -7-9=-16

$-2\left(-4f+5\right)=2f-16$

Expand:  -2(-4f + 5) = 8f - 10

$8f-10=2f-16$

Add 10 to both sides

$8f-10+10=2f-16+10$

Simplify

$8f=2f-6$

Subtract 2f from both sides

$8f-2f=2f-6-2f$

Simplify

$6f=-6$

Divide both sides by 6

$\frac{6f}{6}=\frac{-6}{6}$

Simplify

$f=-1$

Therefore, the value of f:

• $f=-1$