3(4a+1)=3-7a

Solution for 3(4a+1)=3-7a equation:

Simplifying
3(4a + 1) = 3 + -7a

Reorder the terms:
3(1 + 4a) = 3 + -7a
(1 * 3 + 4a * 3) = 3 + -7a
(3 + 12a) = 3 + -7a

Add '-3' to each side of the equation.
3 + -3 + 12a = 3 + -3 + -7a

Combine like terms: 3 + -3 = 0
0 + 12a = 3 + -3 + -7a
12a = 3 + -3 + -7a

Combine like terms: 3 + -3 = 0
12a = 0 + -7a
12a = -7a

Solving
12a = -7a

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
12a + 7a = -7a + 7a

Combine like terms: 12a + 7a = 19a
19a = -7a + 7a

Combine like terms: -7a + 7a = 0
19a = 0

Divide each side by '19'.
a = 0

Simplifying
a = 0