3(a+1)+(6-a)+(7a-9)=36

Solution for 3(a+1)+(6-a)+(7a-9)=36 equation:

Simplifying
3(a + 1) + (6 + -1a) + (7a + -9) = 36

Reorder the terms:
3(1 + a) + (6 + -1a) + (7a + -9) = 36
(1 * 3 + a * 3) + (6 + -1a) + (7a + -9) = 36
(3 + 3a) + (6 + -1a) + (7a + -9) = 36

Remove parenthesis around (6 + -1a)
3 + 3a + 6 + -1a + (7a + -9) = 36

Reorder the terms:
3 + 3a + 6 + -1a + (-9 + 7a) = 36

Remove parenthesis around (-9 + 7a)
3 + 3a + 6 + -1a + -9 + 7a = 36

Reorder the terms:
3 + 6 + -9 + 3a + -1a + 7a = 36

Combine like terms: 3 + 6 = 9
9 + -9 + 3a + -1a + 7a = 36

Combine like terms: 9 + -9 = 0
0 + 3a + -1a + 7a = 36
3a + -1a + 7a = 36

Combine like terms: 3a + -1a = 2a
2a + 7a = 36

Combine like terms: 2a + 7a = 9a
9a = 36

Solving
9a = 36

Solving for variable 'a'.

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

Divide each side by '9'.
a = 4

Simplifying
a = 4