3(4f-7)=-45

Solution for 3(4f-7)=-45 equation:

Simplifying
3(4f + -7) = -45

Reorder the terms:
3(-7 + 4f) = -45
(-7 * 3 + 4f * 3) = -45
(-21 + 12f) = -45

Solving
-21 + 12f = -45

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '21' to each side of the equation.
-21 + 21 + 12f = -45 + 21

Combine like terms: -21 + 21 = 0
0 + 12f = -45 + 21
12f = -45 + 21

Combine like terms: -45 + 21 = -24
12f = -24

Divide each side by '12'.
f = -2

Simplifying
f = -2