0.4(a+0.8)=0.2(a+1.6)

Solution for 0.4(a+0.8)=0.2(a+1.6) equation:

Simplifying
0.4(a + 0.8) = 0.2(a + 1.6)

Reorder the terms:
0.4(0.8 + a) = 0.2(a + 1.6)
(0.8 * 0.4 + a * 0.4) = 0.2(a + 1.6)
(0.32 + 0.4a) = 0.2(a + 1.6)

Reorder the terms:
0.32 + 0.4a = 0.2(1.6 + a)
0.32 + 0.4a = (1.6 * 0.2 + a * 0.2)
0.32 + 0.4a = (0.32 + 0.2a)

Add '-0.32' to each side of the equation.
0.32 + -0.32 + 0.4a = 0.32 + -0.32 + 0.2a

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + 0.4a = 0.32 + -0.32 + 0.2a
0.4a = 0.32 + -0.32 + 0.2a

Combine like terms: 0.32 + -0.32 = 0.00
0.4a = 0.00 + 0.2a
0.4a = 0.2a

Solving
0.4a = 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
0.4a + -0.2a = 0.2a + -0.2a

Combine like terms: 0.4a + -0.2a = 0.2a
0.2a = 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
0.2a = 0.0

Divide each side by '0.2'.
a = 0

Simplifying
a = 0