7-7a-1+8a=4a-6

Solution for 7-7a-1+8a=4a-6 equation:

Simplifying
7 + -7a + -1 + 8a = 4a + -6

Reorder the terms:
7 + -1 + -7a + 8a = 4a + -6

Combine like terms: 7 + -1 = 6
6 + -7a + 8a = 4a + -6

Combine like terms: -7a + 8a = 1a
6 + 1a = 4a + -6

Reorder the terms:
6 + 1a = -6 + 4a

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

Combine like terms: 1a + -4a = -3a
6 + -3a = -6 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + -3a = -6 + 0
6 + -3a = -6

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

Combine like terms: 6 + -6 = 0
0 + -3a = -6 + -6
-3a = -6 + -6

Combine like terms: -6 + -6 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4