6a+3(5a-1)=-3(1+8a)+a

Solution for 6a+3(5a-1)=-3(1+8a)+a equation:

Simplifying
6a + 3(5a + -1) = -3(1 + 8a) + a

Reorder the terms:
6a + 3(-1 + 5a) = -3(1 + 8a) + a
6a + (-1 * 3 + 5a * 3) = -3(1 + 8a) + a
6a + (-3 + 15a) = -3(1 + 8a) + a

Reorder the terms:
-3 + 6a + 15a = -3(1 + 8a) + a

Combine like terms: 6a + 15a = 21a
-3 + 21a = -3(1 + 8a) + a
-3 + 21a = (1 * -3 + 8a * -3) + a
-3 + 21a = (-3 + -24a) + a

Combine like terms: -24a + a = -23a
-3 + 21a = -3 + -23a

Add '3' to each side of the equation.
-3 + 3 + 21a = -3 + 3 + -23a

Combine like terms: -3 + 3 = 0
0 + 21a = -3 + 3 + -23a
21a = -3 + 3 + -23a

Combine like terms: -3 + 3 = 0
21a = 0 + -23a
21a = -23a

Solving
21a = -23a

Solving for variable 'a'.

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

Add '23a' to each side of the equation.
21a + 23a = -23a + 23a

Combine like terms: 21a + 23a = 44a
44a = -23a + 23a

Combine like terms: -23a + 23a = 0
44a = 0

Divide each side by '44'.
a = 0

Simplifying
a = 0