11(-2a+2b-3c)-9(5a-6b+2c)=0

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Solution for 11(-2a+2b-3c)-9(5a-6b+2c)=0 equation:


Simplifying
11(-2a + 2b + -3c) + -9(5a + -6b + 2c) = 0
(-2a * 11 + 2b * 11 + -3c * 11) + -9(5a + -6b + 2c) = 0
(-22a + 22b + -33c) + -9(5a + -6b + 2c) = 0
-22a + 22b + -33c + (5a * -9 + -6b * -9 + 2c * -9) = 0
-22a + 22b + -33c + (-45a + 54b + -18c) = 0

Reorder the terms:
-22a + -45a + 22b + 54b + -33c + -18c = 0

Combine like terms: -22a + -45a = -67a
-67a + 22b + 54b + -33c + -18c = 0

Combine like terms: 22b + 54b = 76b
-67a + 76b + -33c + -18c = 0

Combine like terms: -33c + -18c = -51c
-67a + 76b + -51c = 0

Solving
-67a + 76b + -51c = 0

Solving for variable 'a'.

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

Add '-76b' to each side of the equation.
-67a + 76b + -76b + -51c = 0 + -76b

Combine like terms: 76b + -76b = 0
-67a + 0 + -51c = 0 + -76b
-67a + -51c = 0 + -76b
Remove the zero:
-67a + -51c = -76b

Add '51c' to each side of the equation.
-67a + -51c + 51c = -76b + 51c

Combine like terms: -51c + 51c = 0
-67a + 0 = -76b + 51c
-67a = -76b + 51c

Divide each side by '-67'.
a = 1.134328358b + -0.7611940299c

Simplifying
a = 1.134328358b + -0.7611940299c

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