7(f+6)=3f-58

Solution for 7(f+6)=3f-58 equation:

Simplifying
7(f + 6) = 3f + -58

Reorder the terms:
7(6 + f) = 3f + -58
(6 * 7 + f * 7) = 3f + -58
(42 + 7f) = 3f + -58

Reorder the terms:
42 + 7f = -58 + 3f

Solving
42 + 7f = -58 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
42 + 7f + -3f = -58 + 3f + -3f

Combine like terms: 7f + -3f = 4f
42 + 4f = -58 + 3f + -3f

Combine like terms: 3f + -3f = 0
42 + 4f = -58 + 0
42 + 4f = -58

Add '-42' to each side of the equation.
42 + -42 + 4f = -58 + -42

Combine like terms: 42 + -42 = 0
0 + 4f = -58 + -42
4f = -58 + -42

Combine like terms: -58 + -42 = -100
4f = -100

Divide each side by '4'.
f = -25

Simplifying
f = -25