6+a=1-4a

Solution for 6+a=1-4a equation:

Simplifying
6 + a = 1 + -4a

Solving
6 + a = 1 + -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.
6 + a + 4a = 1 + -4a + 4a

Combine like terms: a + 4a = 5a
6 + 5a = 1 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 5a = 1 + 0
6 + 5a = 1

Add '-6' to each side of the equation.
6 + -6 + 5a = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 1 + -6
5a = 1 + -6

Combine like terms: 1 + -6 = -5
5a = -5

Divide each side by '5'.
a = -1

Simplifying
a = -1