11(-3a+2b-4c)-8(3a-6b+2c)=

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Solution for 11(-3a+2b-4c)-8(3a-6b+2c)= equation:


Simplifying
11(-3a + 2b + -4c) + -8(3a + -6b + 2c) = 0
(-3a * 11 + 2b * 11 + -4c * 11) + -8(3a + -6b + 2c) = 0
(-33a + 22b + -44c) + -8(3a + -6b + 2c) = 0
-33a + 22b + -44c + (3a * -8 + -6b * -8 + 2c * -8) = 0
-33a + 22b + -44c + (-24a + 48b + -16c) = 0

Reorder the terms:
-33a + -24a + 22b + 48b + -44c + -16c = 0

Combine like terms: -33a + -24a = -57a
-57a + 22b + 48b + -44c + -16c = 0

Combine like terms: 22b + 48b = 70b
-57a + 70b + -44c + -16c = 0

Combine like terms: -44c + -16c = -60c
-57a + 70b + -60c = 0

Solving
-57a + 70b + -60c = 0

Solving for variable 'a'.

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

Add '-70b' to each side of the equation.
-57a + 70b + -70b + -60c = 0 + -70b

Combine like terms: 70b + -70b = 0
-57a + 0 + -60c = 0 + -70b
-57a + -60c = 0 + -70b
Remove the zero:
-57a + -60c = -70b

Add '60c' to each side of the equation.
-57a + -60c + 60c = -70b + 60c

Combine like terms: -60c + 60c = 0
-57a + 0 = -70b + 60c
-57a = -70b + 60c

Divide each side by '-57'.
a = 1.228070175b + -1.052631579c

Simplifying
a = 1.228070175b + -1.052631579c

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