-6a+2(a-3)+3(a-5)-11=-32

Solution for -6a+2(a-3)+3(a-5)-11=-32 equation:

Simplifying
-6a + 2(a + -3) + 3(a + -5) + -11 = -32

Reorder the terms:
-6a + 2(-3 + a) + 3(a + -5) + -11 = -32
-6a + (-3 * 2 + a * 2) + 3(a + -5) + -11 = -32
-6a + (-6 + 2a) + 3(a + -5) + -11 = -32

Reorder the terms:
-6a + -6 + 2a + 3(-5 + a) + -11 = -32
-6a + -6 + 2a + (-5 * 3 + a * 3) + -11 = -32
-6a + -6 + 2a + (-15 + 3a) + -11 = -32

Reorder the terms:
-6 + -15 + -11 + -6a + 2a + 3a = -32

Combine like terms: -6 + -15 = -21
-21 + -11 + -6a + 2a + 3a = -32

Combine like terms: -21 + -11 = -32
-32 + -6a + 2a + 3a = -32

Combine like terms: -6a + 2a = -4a
-32 + -4a + 3a = -32

Combine like terms: -4a + 3a = -1a
-32 + -1a = -32

Add '32' to each side of the equation.
-32 + 32 + -1a = -32 + 32

Combine like terms: -32 + 32 = 0
0 + -1a = -32 + 32
-1a = -32 + 32

Combine like terms: -32 + 32 = 0
-1a = 0

Solving
-1a = 0

Solving for variable 'a'.

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

Divide each side by '-1'.
a = 0

Simplifying
a = 0