0.2(a+6)=8a

Solution for 0.2(a+6)=8a equation:

Simplifying
0.2(a + 6) = 8a

Reorder the terms:
0.2(6 + a) = 8a
(6 * 0.2 + a * 0.2) = 8a
(1.2 + 0.2a) = 8a

Solving
1.2 + 0.2a = 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
1.2 + 0.2a + -8a = 8a + -8a

Combine like terms: 0.2a + -8a = -7.8a
1.2 + -7.8a = 8a + -8a

Combine like terms: 8a + -8a = 0
1.2 + -7.8a = 0

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -7.8a = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -7.8a = 0 + -1.2
-7.8a = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-7.8a = -1.2

Divide each side by '-7.8'.
a = 0.1538461538

Simplifying
a = 0.1538461538