3(7b+c-4c)-9(a-6c+2b)=

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Solution for 3(7b+c-4c)-9(a-6c+2b)= equation: 


Simplifying
3(7b + c + -4c) + -9(a + -6c + 2b) = 0

Combine like terms: c + -4c = -3c
3(7b + -3c) + -9(a + -6c + 2b) = 0
(7b * 3 + -3c * 3) + -9(a + -6c + 2b) = 0
(21b + -9c) + -9(a + -6c + 2b) = 0

Reorder the terms:
21b + -9c + -9(a + 2b + -6c) = 0
21b + -9c + (a * -9 + 2b * -9 + -6c * -9) = 0
21b + -9c + (-9a + -18b + 54c) = 0

Reorder the terms:
-9a + 21b + -18b + -9c + 54c = 0

Combine like terms: 21b + -18b = 3b
-9a + 3b + -9c + 54c = 0

Combine like terms: -9c + 54c = 45c
-9a + 3b + 45c = 0

Solving
-9a + 3b + 45c = 0

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
-9a + 3b + -3b + 45c = 0 + -3b

Combine like terms: 3b + -3b = 0
-9a + 0 + 45c = 0 + -3b
-9a + 45c = 0 + -3b
Remove the zero:
-9a + 45c = -3b

Add '-45c' to each side of the equation.
-9a + 45c + -45c = -3b + -45c

Combine like terms: 45c + -45c = 0
-9a + 0 = -3b + -45c
-9a = -3b + -45c

Divide each side by '-9'.
a = 0.3333333333b + 5c

Simplifying
a = 0.3333333333b + 5c

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