6(1+3a)=-34+8a

Solution for 6(1+3a)=-34+8a equation:

Simplifying
6(1 + 3a) = -34 + 8a
(1 * 6 + 3a * 6) = -34 + 8a
(6 + 18a) = -34 + 8a

Solving
6 + 18a = -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 + 18a + -8a = -34 + 8a + -8a

Combine like terms: 18a + -8a = 10a
6 + 10a = -34 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + 10a = -34 + 0
6 + 10a = -34

Add '-6' to each side of the equation.
6 + -6 + 10a = -34 + -6

Combine like terms: 6 + -6 = 0
0 + 10a = -34 + -6
10a = -34 + -6

Combine like terms: -34 + -6 = -40
10a = -40

Divide each side by '10'.
a = -4

Simplifying
a = -4