4-0.9(f-1)=0.6(4f-1)

Solution for 4-0.9(f-1)=0.6(4f-1) equation:

Simplifying
4 + -0.9(f + -1) = 0.6(4f + -1)

Reorder the terms:
4 + -0.9(-1 + f) = 0.6(4f + -1)
4 + (-1 * -0.9 + f * -0.9) = 0.6(4f + -1)
4 + (0.9 + -0.9f) = 0.6(4f + -1)

Combine like terms: 4 + 0.9 = 4.9
4.9 + -0.9f = 0.6(4f + -1)

Reorder the terms:
4.9 + -0.9f = 0.6(-1 + 4f)
4.9 + -0.9f = (-1 * 0.6 + 4f * 0.6)
4.9 + -0.9f = (-0.6 + 2.4f)

Solving
4.9 + -0.9f = -0.6 + 2.4f

Solving for variable 'f'.

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

Add '-2.4f' to each side of the equation.
4.9 + -0.9f + -2.4f = -0.6 + 2.4f + -2.4f

Combine like terms: -0.9f + -2.4f = -3.3f
4.9 + -3.3f = -0.6 + 2.4f + -2.4f

Combine like terms: 2.4f + -2.4f = 0.0
4.9 + -3.3f = -0.6 + 0.0
4.9 + -3.3f = -0.6

Add '-4.9' to each side of the equation.
4.9 + -4.9 + -3.3f = -0.6 + -4.9

Combine like terms: 4.9 + -4.9 = 0.0
0.0 + -3.3f = -0.6 + -4.9
-3.3f = -0.6 + -4.9

Combine like terms: -0.6 + -4.9 = -5.5
-3.3f = -5.5

Divide each side by '-3.3'.
f = 1.666666667

Simplifying
f = 1.666666667