6(a+8)=84.6

Solution for 6(a+8)=84.6 equation:

Simplifying
6(a + 8) = 84.6

Reorder the terms:
6(8 + a) = 84.6
(8 * 6 + a * 6) = 84.6
(48 + 6a) = 84.6

Solving
48 + 6a = 84.6

Solving for variable 'a'.

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

Add '-48' to each side of the equation.
48 + -48 + 6a = 84.6 + -48

Combine like terms: 48 + -48 = 0
0 + 6a = 84.6 + -48
6a = 84.6 + -48

Combine like terms: 84.6 + -48 = 36.6
6a = 36.6

Divide each side by '6'.
a = 6.1

Simplifying
a = 6.1