-3a-1(5a-6)=54

Solution for -3a-1(5a-6)=54 equation:

Simplifying
-3a + -1(5a + -6) = 54

Reorder the terms:
-3a + -1(-6 + 5a) = 54
-3a + (-6 * -1 + 5a * -1) = 54
-3a + (6 + -5a) = 54

Reorder the terms:
6 + -3a + -5a = 54

Combine like terms: -3a + -5a = -8a
6 + -8a = 54

Solving
6 + -8a = 54

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 + -8a = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -8a = 54 + -6
-8a = 54 + -6

Combine like terms: 54 + -6 = 48
-8a = 48

Divide each side by '-8'.
a = -6

Simplifying
a = -6