6(8.5a-7)=30.5+9a

Solution for 6(8.5a-7)=30.5+9a equation:

Simplifying
6(8.5a + -7) = 30.5 + 9a

Reorder the terms:
6(-7 + 8.5a) = 30.5 + 9a
(-7 * 6 + 8.5a * 6) = 30.5 + 9a
(-42 + 51a) = 30.5 + 9a

Solving
-42 + 51a = 30.5 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
-42 + 51a + -9a = 30.5 + 9a + -9a

Combine like terms: 51a + -9a = 42a
-42 + 42a = 30.5 + 9a + -9a

Combine like terms: 9a + -9a = 0
-42 + 42a = 30.5 + 0
-42 + 42a = 30.5

Add '42' to each side of the equation.
-42 + 42 + 42a = 30.5 + 42

Combine like terms: -42 + 42 = 0
0 + 42a = 30.5 + 42
42a = 30.5 + 42

Combine like terms: 30.5 + 42 = 72.5
42a = 72.5

Divide each side by '42'.
a = 1.726190476

Simplifying
a = 1.726190476