6a-(6-7a)=97

Solution for 6a-(6-7a)=97 equation:

Simplifying
6a + -1(6 + -7a) = 97
6a + (6 * -1 + -7a * -1) = 97
6a + (-6 + 7a) = 97

Reorder the terms:
-6 + 6a + 7a = 97

Combine like terms: 6a + 7a = 13a
-6 + 13a = 97

Solving
-6 + 13a = 97

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 13a = 97 + 6

Combine like terms: -6 + 6 = 0
0 + 13a = 97 + 6
13a = 97 + 6

Combine like terms: 97 + 6 = 103
13a = 103

Divide each side by '13'.
a = 7.923076923

Simplifying
a = 7.923076923