4(2f+13)-3(6-f)=1

Solution for 4(2f+13)-3(6-f)=1 equation:

Simplifying
4(2f + 13) + -3(6 + -1f) = 1

Reorder the terms:
4(13 + 2f) + -3(6 + -1f) = 1
(13 * 4 + 2f * 4) + -3(6 + -1f) = 1
(52 + 8f) + -3(6 + -1f) = 1
52 + 8f + (6 * -3 + -1f * -3) = 1
52 + 8f + (-18 + 3f) = 1

Reorder the terms:
52 + -18 + 8f + 3f = 1

Combine like terms: 52 + -18 = 34
34 + 8f + 3f = 1

Combine like terms: 8f + 3f = 11f
34 + 11f = 1

Solving
34 + 11f = 1

Solving for variable 'f'.

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

Add '-34' to each side of the equation.
34 + -34 + 11f = 1 + -34

Combine like terms: 34 + -34 = 0
0 + 11f = 1 + -34
11f = 1 + -34

Combine like terms: 1 + -34 = -33
11f = -33

Divide each side by '11'.
f = -3

Simplifying
f = -3