-0.5-0.6=0.5-0.2(4a-1)

Solution for -0.5-0.6=0.5-0.2(4a-1) equation:

Simplifying
-0.5 + -0.6 = 0.5 + -0.2(4a + -1)

Combine like terms: -0.5 + -0.6 = -1.1
-1.1 = 0.5 + -0.2(4a + -1)

Reorder the terms:
-1.1 = 0.5 + -0.2(-1 + 4a)
-1.1 = 0.5 + (-1 * -0.2 + 4a * -0.2)
-1.1 = 0.5 + (0.2 + -0.8a)

Combine like terms: 0.5 + 0.2 = 0.7
-1.1 = 0.7 + -0.8a

Solving
-1.1 = 0.7 + -0.8a

Solving for variable 'a'.

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

Add '0.8a' to each side of the equation.
-1.1 + 0.8a = 0.7 + -0.8a + 0.8a

Combine like terms: -0.8a + 0.8a = 0.0
-1.1 + 0.8a = 0.7 + 0.0
-1.1 + 0.8a = 0.7

Add '1.1' to each side of the equation.
-1.1 + 1.1 + 0.8a = 0.7 + 1.1

Combine like terms: -1.1 + 1.1 = 0.0
0.0 + 0.8a = 0.7 + 1.1
0.8a = 0.7 + 1.1

Combine like terms: 0.7 + 1.1 = 1.8
0.8a = 1.8

Divide each side by '0.8'.
a = 2.25

Simplifying
a = 2.25