2-0.6(f-1)=0.2(7f-1)

Solution for 2-0.6(f-1)=0.2(7f-1) equation:

Simplifying
2 + -0.6(f + -1) = 0.2(7f + -1)

Reorder the terms:
2 + -0.6(-1 + f) = 0.2(7f + -1)
2 + (-1 * -0.6 + f * -0.6) = 0.2(7f + -1)
2 + (0.6 + -0.6f) = 0.2(7f + -1)

Combine like terms: 2 + 0.6 = 2.6
2.6 + -0.6f = 0.2(7f + -1)

Reorder the terms:
2.6 + -0.6f = 0.2(-1 + 7f)
2.6 + -0.6f = (-1 * 0.2 + 7f * 0.2)
2.6 + -0.6f = (-0.2 + 1.4f)

Solving
2.6 + -0.6f = -0.2 + 1.4f

Solving for variable 'f'.

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

Add '-1.4f' to each side of the equation.
2.6 + -0.6f + -1.4f = -0.2 + 1.4f + -1.4f

Combine like terms: -0.6f + -1.4f = -2f
2.6 + -2f = -0.2 + 1.4f + -1.4f

Combine like terms: 1.4f + -1.4f = 0.0
2.6 + -2f = -0.2 + 0.0
2.6 + -2f = -0.2

Add '-2.6' to each side of the equation.
2.6 + -2.6 + -2f = -0.2 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -2f = -0.2 + -2.6
-2f = -0.2 + -2.6

Combine like terms: -0.2 + -2.6 = -2.8
-2f = -2.8

Divide each side by '-2'.
f = 1.4

Simplifying
f = 1.4