3(1+3a)-3a=4a+19

Solution for 3(1+3a)-3a=4a+19 equation:

Simplifying
3(1 + 3a) + -3a = 4a + 19
(1 * 3 + 3a * 3) + -3a = 4a + 19
(3 + 9a) + -3a = 4a + 19

Combine like terms: 9a + -3a = 6a
3 + 6a = 4a + 19

Reorder the terms:
3 + 6a = 19 + 4a

Solving
3 + 6a = 19 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
3 + 6a + -4a = 19 + 4a + -4a

Combine like terms: 6a + -4a = 2a
3 + 2a = 19 + 4a + -4a

Combine like terms: 4a + -4a = 0
3 + 2a = 19 + 0
3 + 2a = 19

Add '-3' to each side of the equation.
3 + -3 + 2a = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 2a = 19 + -3
2a = 19 + -3

Combine like terms: 19 + -3 = 16
2a = 16

Divide each side by '2'.
a = 8

Simplifying
a = 8