23a+43b-36c-50b+90a-10c-50a+100c+37b-79a+33b-21c+31a-56c=

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Solution for 23a+43b-36c-50b+90a-10c-50a+100c+37b-79a+33b-21c+31a-56c= equation: 


Simplifying
23a + 43b + -36c + -50b + 90a + -10c + -50a + 100c + 37b + -79a + 33b + -21c + 31a + -56c = 0

Reorder the terms:
23a + 90a + -50a + -79a + 31a + 43b + -50b + 37b + 33b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: 23a + 90a = 113a
113a + -50a + -79a + 31a + 43b + -50b + 37b + 33b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: 113a + -50a = 63a
63a + -79a + 31a + 43b + -50b + 37b + 33b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: 63a + -79a = -16a
-16a + 31a + 43b + -50b + 37b + 33b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: -16a + 31a = 15a
15a + 43b + -50b + 37b + 33b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: 43b + -50b = -7b
15a + -7b + 37b + 33b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: -7b + 37b = 30b
15a + 30b + 33b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: 30b + 33b = 63b
15a + 63b + -36c + -10c + 100c + -21c + -56c = 0

Combine like terms: -36c + -10c = -46c
15a + 63b + -46c + 100c + -21c + -56c = 0

Combine like terms: -46c + 100c = 54c
15a + 63b + 54c + -21c + -56c = 0

Combine like terms: 54c + -21c = 33c
15a + 63b + 33c + -56c = 0

Combine like terms: 33c + -56c = -23c
15a + 63b + -23c = 0

Solving
15a + 63b + -23c = 0

Solving for variable 'a'.

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

Add '-63b' to each side of the equation.
15a + 63b + -63b + -23c = 0 + -63b

Combine like terms: 63b + -63b = 0
15a + 0 + -23c = 0 + -63b
15a + -23c = 0 + -63b
Remove the zero:
15a + -23c = -63b

Add '23c' to each side of the equation.
15a + -23c + 23c = -63b + 23c

Combine like terms: -23c + 23c = 0
15a + 0 = -63b + 23c
15a = -63b + 23c

Divide each side by '15'.
a = -4.2b + 1.533333333c

Simplifying
a = -4.2b + 1.533333333c

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