3(9b+c-3a)-3(a-5c+2b)=

Solution for 3(9b+c-3a)-3(a-5c+2b)= equation:

Simplifying
3(9b + c + -3a) + -3(a + -5c + 2b) = 0

Reorder the terms:
3(-3a + 9b + c) + -3(a + -5c + 2b) = 0
(-3a * 3 + 9b * 3 + c * 3) + -3(a + -5c + 2b) = 0
(-9a + 27b + 3c) + -3(a + -5c + 2b) = 0

Reorder the terms:
-9a + 27b + 3c + -3(a + 2b + -5c) = 0
-9a + 27b + 3c + (a * -3 + 2b * -3 + -5c * -3) = 0
-9a + 27b + 3c + (-3a + -6b + 15c) = 0

Reorder the terms:
-9a + -3a + 27b + -6b + 3c + 15c = 0

Combine like terms: -9a + -3a = -12a
-12a + 27b + -6b + 3c + 15c = 0

Combine like terms: 27b + -6b = 21b
-12a + 21b + 3c + 15c = 0

Combine like terms: 3c + 15c = 18c
-12a + 21b + 18c = 0

Solving
-12a + 21b + 18c = 0

Solving for variable 'a'.

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

Add '-21b' to each side of the equation.
-12a + 21b + -21b + 18c = 0 + -21b

Combine like terms: 21b + -21b = 0
-12a + 0 + 18c = 0 + -21b
-12a + 18c = 0 + -21b
Remove the zero:
-12a + 18c = -21b

Add '-18c' to each side of the equation.
-12a + 18c + -18c = -21b + -18c

Combine like terms: 18c + -18c = 0
-12a + 0 = -21b + -18c
-12a = -21b + -18c

Divide each side by '-12'.
a = 1.75b + 1.5c

Simplifying
a = 1.75b + 1.5c