3(9+2)-(a-1)=17

Solution for 3(9+2)-(a-1)=17 equation:

Simplifying
3(9 + 2) + -1(a + -1) = 17

Combine like terms: 9 + 2 = 11
3(11) + -1(a + -1) = 17

Multiply 3 * 11
33 + -1(a + -1) = 17

Reorder the terms:
33 + -1(-1 + a) = 17
33 + (-1 * -1 + a * -1) = 17
33 + (1 + -1a) = 17

Combine like terms: 33 + 1 = 34
34 + -1a = 17

Solving
34 + -1a = 17

Solving for variable 'a'.

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

Add '-34' to each side of the equation.
34 + -34 + -1a = 17 + -34

Combine like terms: 34 + -34 = 0
0 + -1a = 17 + -34
-1a = 17 + -34

Combine like terms: 17 + -34 = -17
-1a = -17

Divide each side by '-1'.
a = 17

Simplifying
a = 17