3(4a+-9)-10(a-6)=

Solution for 3(4a+-9)-10(a-6)= equation:

Simplifying
3(4a + -9) + -10(a + -6) = 0

Reorder the terms:
3(-9 + 4a) + -10(a + -6) = 0
(-9 * 3 + 4a * 3) + -10(a + -6) = 0
(-27 + 12a) + -10(a + -6) = 0

Reorder the terms:
-27 + 12a + -10(-6 + a) = 0
-27 + 12a + (-6 * -10 + a * -10) = 0
-27 + 12a + (60 + -10a) = 0

Reorder the terms:
-27 + 60 + 12a + -10a = 0

Combine like terms: -27 + 60 = 33
33 + 12a + -10a = 0

Combine like terms: 12a + -10a = 2a
33 + 2a = 0

Solving
33 + 2a = 0

Solving for variable 'a'.

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

Add '-33' to each side of the equation.
33 + -33 + 2a = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 2a = 0 + -33
2a = 0 + -33

Combine like terms: 0 + -33 = -33
2a = -33

Divide each side by '2'.
a = -16.5

Simplifying
a = -16.5