6(1+8a)=8a-34

Solution for 6(1+8a)=8a-34 equation:

Simplifying
6(1 + 8a) = 8a + -34
(1 * 6 + 8a * 6) = 8a + -34
(6 + 48a) = 8a + -34

Reorder the terms:
6 + 48a = -34 + 8a

Solving
6 + 48a = -34 + 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.
6 + 48a + -8a = -34 + 8a + -8a

Combine like terms: 48a + -8a = 40a
6 + 40a = -34 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + 40a = -34 + 0
6 + 40a = -34

Add '-6' to each side of the equation.
6 + -6 + 40a = -34 + -6

Combine like terms: 6 + -6 = 0
0 + 40a = -34 + -6
40a = -34 + -6

Combine like terms: -34 + -6 = -40
40a = -40

Divide each side by '40'.
a = -1

Simplifying
a = -1