-13a+6+5a=7a-8a

Solution for -13a+6+5a=7a-8a equation:

Simplifying
-13a + 6 + 5a = 7a + -8a

Reorder the terms:
6 + -13a + 5a = 7a + -8a

Combine like terms: -13a + 5a = -8a
6 + -8a = 7a + -8a

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

Solving
6 + -8a = -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + -8a + a = -1a + a

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

Combine like terms: -1a + a = 0
6 + -7a = 0

Add '-6' to each side of the equation.
6 + -6 + -7a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7a = 0 + -6
-7a = 0 + -6

Combine like terms: 0 + -6 = -6
-7a = -6

Divide each side by '-7'.
a = 0.8571428571

Simplifying
a = 0.8571428571