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

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


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

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

Combine like terms: -33a + -24a = -57a
-57a + 33b + 48b + -33c + -24c = 0

Combine like terms: 33b + 48b = 81b
-57a + 81b + -33c + -24c = 0

Combine like terms: -33c + -24c = -57c
-57a + 81b + -57c = 0

Solving
-57a + 81b + -57c = 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.
-57a + 81b + -81b + -57c = 0 + -81b

Combine like terms: 81b + -81b = 0
-57a + 0 + -57c = 0 + -81b
-57a + -57c = 0 + -81b
Remove the zero:
-57a + -57c = -81b

Add '57c' to each side of the equation.
-57a + -57c + 57c = -81b + 57c

Combine like terms: -57c + 57c = 0
-57a + 0 = -81b + 57c
-57a = -81b + 57c

Divide each side by '-57'.
a = 1.421052632b + -1c

Simplifying
a = 1.421052632b + -1c

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