6(1+11a)-9a=6(1+2a)

Solution for 6(1+11a)-9a=6(1+2a) equation:

Simplifying
6(1 + 11a) + -9a = 6(1 + 2a)
(1 * 6 + 11a * 6) + -9a = 6(1 + 2a)
(6 + 66a) + -9a = 6(1 + 2a)

Combine like terms: 66a + -9a = 57a
6 + 57a = 6(1 + 2a)
6 + 57a = (1 * 6 + 2a * 6)
6 + 57a = (6 + 12a)

Add '-6' to each side of the equation.
6 + -6 + 57a = 6 + -6 + 12a

Combine like terms: 6 + -6 = 0
0 + 57a = 6 + -6 + 12a
57a = 6 + -6 + 12a

Combine like terms: 6 + -6 = 0
57a = 0 + 12a
57a = 12a

Solving
57a = 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
57a + -12a = 12a + -12a

Combine like terms: 57a + -12a = 45a
45a = 12a + -12a

Combine like terms: 12a + -12a = 0
45a = 0

Divide each side by '45'.
a = 0

Simplifying
a = 0