2.6f-1.3(3f-4)=65

Solution for 2.6f-1.3(3f-4)=65 equation:

Simplifying
2.6f + -1.3(3f + -4) = 65

Reorder the terms:
2.6f + -1.3(-4 + 3f) = 65
2.6f + (-4 * -1.3 + 3f * -1.3) = 65
2.6f + (5.2 + -3.9f) = 65

Reorder the terms:
5.2 + 2.6f + -3.9f = 65

Combine like terms: 2.6f + -3.9f = -1.3f
5.2 + -1.3f = 65

Solving
5.2 + -1.3f = 65

Solving for variable 'f'.

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

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -1.3f = 65 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -1.3f = 65 + -5.2
-1.3f = 65 + -5.2

Combine like terms: 65 + -5.2 = 59.8
-1.3f = 59.8

Divide each side by '-1.3'.
f = -46

Simplifying
f = -46