a-1=6a-78

Solution for a-1=6a-78 equation:

Simplifying
a + -1 = 6a + -78

Reorder the terms:
-1 + a = 6a + -78

Reorder the terms:
-1 + a = -78 + 6a

Solving
-1 + a = -78 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-1 + a + -6a = -78 + 6a + -6a

Combine like terms: a + -6a = -5a
-1 + -5a = -78 + 6a + -6a

Combine like terms: 6a + -6a = 0
-1 + -5a = -78 + 0
-1 + -5a = -78

Add '1' to each side of the equation.
-1 + 1 + -5a = -78 + 1

Combine like terms: -1 + 1 = 0
0 + -5a = -78 + 1
-5a = -78 + 1

Combine like terms: -78 + 1 = -77
-5a = -77

Divide each side by '-5'.
a = 15.4

Simplifying
a = 15.4