11(-4a+2b-3c)-8(5a-6b+2c)=

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Solution for 11(-4a+2b-3c)-8(5a-6b+2c)= equation:


Simplifying
11(-4a + 2b + -3c) + -8(5a + -6b + 2c) = 0
(-4a * 11 + 2b * 11 + -3c * 11) + -8(5a + -6b + 2c) = 0
(-44a + 22b + -33c) + -8(5a + -6b + 2c) = 0
-44a + 22b + -33c + (5a * -8 + -6b * -8 + 2c * -8) = 0
-44a + 22b + -33c + (-40a + 48b + -16c) = 0

Reorder the terms:
-44a + -40a + 22b + 48b + -33c + -16c = 0

Combine like terms: -44a + -40a = -84a
-84a + 22b + 48b + -33c + -16c = 0

Combine like terms: 22b + 48b = 70b
-84a + 70b + -33c + -16c = 0

Combine like terms: -33c + -16c = -49c
-84a + 70b + -49c = 0

Solving
-84a + 70b + -49c = 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.
-84a + 70b + -70b + -49c = 0 + -70b

Combine like terms: 70b + -70b = 0
-84a + 0 + -49c = 0 + -70b
-84a + -49c = 0 + -70b
Remove the zero:
-84a + -49c = -70b

Add '49c' to each side of the equation.
-84a + -49c + 49c = -70b + 49c

Combine like terms: -49c + 49c = 0
-84a + 0 = -70b + 49c
-84a = -70b + 49c

Divide each side by '-84'.
a = 0.8333333333b + -0.5833333333c

Simplifying
a = 0.8333333333b + -0.5833333333c

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