27-(6-7f)=42

Solution for 27-(6-7f)=42 equation:

Simplifying
27 + -1(6 + -7f) = 42
27 + (6 * -1 + -7f * -1) = 42
27 + (-6 + 7f) = 42

Combine like terms: 27 + -6 = 21
21 + 7f = 42

Solving
21 + 7f = 42

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 + 7f = 42 + -21

Combine like terms: 21 + -21 = 0
0 + 7f = 42 + -21
7f = 42 + -21

Combine like terms: 42 + -21 = 21
7f = 21

Divide each side by '7'.
f = 3

Simplifying
f = 3