Solve - 6f + 13 = 2f - 11

f = 3

Step-by-step explanation:

Solve for f:

13 - 6 f = 2 f - 11

Subtract 2 f from both sides:

13 + (-6 f - 2 f) = (2 f - 2 f) - 11

-6 f - 2 f = - 8 f:

-8 f + 13 = (2 f - 2 f) - 11

2 f - 2 f = 0:

13 - 8 f = - 11

Subtract 13 from both sides:

(13 - 13) - 8 f = - 13 - 11

13 - 13 = 0:

-8 f = - 13 - 11

-13 - 11 = - 24:

-8 f = - 24

Divide both sides of - 8 f = - 24 by - 8:

(-8 f) / (-8) = (-24) / (-8)

(-8) / (-8) = 1:

f = (-24) / (-8)

The gcd of - 24 and - 8 is - 8, so (-24) / (-8) = (-8*3) / (-8*1) = (-8) / (-8) * 3 = 3:

Answer: f = 3

Answer and explanation:

This is what you start off with:

-6f + 13 = 2f - 11

You want to figure out what f equals - 6f + 13 = 2f - 11

Start off by adding 11 to both sides + 11 + 11

Get the f's alone on one side - 6f + 24 = 2f

Then add 6f to both sides + 6f + 6f

Try to get f alone 24 = 8f

Divide by 8 to get f 3 = f

f = 3