11(-4a+3b-4c)-8(3a-6b+3c)=0

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Solution for 11(-4a+3b-4c)-8(3a-6b+3c)=0 equation:


Simplifying
11(-4a + 3b + -4c) + -8(3a + -6b + 3c) = 0
(-4a * 11 + 3b * 11 + -4c * 11) + -8(3a + -6b + 3c) = 0
(-44a + 33b + -44c) + -8(3a + -6b + 3c) = 0
-44a + 33b + -44c + (3a * -8 + -6b * -8 + 3c * -8) = 0
-44a + 33b + -44c + (-24a + 48b + -24c) = 0

Reorder the terms:
-44a + -24a + 33b + 48b + -44c + -24c = 0

Combine like terms: -44a + -24a = -68a
-68a + 33b + 48b + -44c + -24c = 0

Combine like terms: 33b + 48b = 81b
-68a + 81b + -44c + -24c = 0

Combine like terms: -44c + -24c = -68c
-68a + 81b + -68c = 0

Solving
-68a + 81b + -68c = 0

Solving for variable 'a'.

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

Add '-81b' to each side of the equation.
-68a + 81b + -81b + -68c = 0 + -81b

Combine like terms: 81b + -81b = 0
-68a + 0 + -68c = 0 + -81b
-68a + -68c = 0 + -81b
Remove the zero:
-68a + -68c = -81b

Add '68c' to each side of the equation.
-68a + -68c + 68c = -81b + 68c

Combine like terms: -68c + 68c = 0
-68a + 0 = -81b + 68c
-68a = -81b + 68c

Divide each side by '-68'.
a = 1.191176471b + -1c

Simplifying
a = 1.191176471b + -1c

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