5(1a-7)+1a=-83

Solution for 5(1a-7)+1a=-83 equation:

Simplifying
5(1a + -7) + 1a = -83

Reorder the terms:
5(-7 + 1a) + 1a = -83
(-7 * 5 + 1a * 5) + 1a = -83
(-35 + 5a) + 1a = -83

Combine like terms: 5a + 1a = 6a
-35 + 6a = -83

Solving
-35 + 6a = -83

Solving for variable 'a'.

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

Add '35' to each side of the equation.
-35 + 35 + 6a = -83 + 35

Combine like terms: -35 + 35 = 0
0 + 6a = -83 + 35
6a = -83 + 35

Combine like terms: -83 + 35 = -48
6a = -48

Divide each side by '6'.
a = -8

Simplifying
a = -8