8(3a-4b+c)+5(2a-3b+c)-3(2c-9a+7b)=

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Solution for 8(3a-4b+c)+5(2a-3b+c)-3(2c-9a+7b)= equation: 


Simplifying
8(3a + -4b + c) + 5(2a + -3b + c) + -3(2c + -9a + 7b) = 0
(3a * 8 + -4b * 8 + c * 8) + 5(2a + -3b + c) + -3(2c + -9a + 7b) = 0
(24a + -32b + 8c) + 5(2a + -3b + c) + -3(2c + -9a + 7b) = 0
24a + -32b + 8c + (2a * 5 + -3b * 5 + c * 5) + -3(2c + -9a + 7b) = 0
24a + -32b + 8c + (10a + -15b + 5c) + -3(2c + -9a + 7b) = 0

Reorder the terms:
24a + -32b + 8c + 10a + -15b + 5c + -3(-9a + 7b + 2c) = 0
24a + -32b + 8c + 10a + -15b + 5c + (-9a * -3 + 7b * -3 + 2c * -3) = 0
24a + -32b + 8c + 10a + -15b + 5c + (27a + -21b + -6c) = 0

Reorder the terms:
24a + 10a + 27a + -32b + -15b + -21b + 8c + 5c + -6c = 0

Combine like terms: 24a + 10a = 34a
34a + 27a + -32b + -15b + -21b + 8c + 5c + -6c = 0

Combine like terms: 34a + 27a = 61a
61a + -32b + -15b + -21b + 8c + 5c + -6c = 0

Combine like terms: -32b + -15b = -47b
61a + -47b + -21b + 8c + 5c + -6c = 0

Combine like terms: -47b + -21b = -68b
61a + -68b + 8c + 5c + -6c = 0

Combine like terms: 8c + 5c = 13c
61a + -68b + 13c + -6c = 0

Combine like terms: 13c + -6c = 7c
61a + -68b + 7c = 0

Solving
61a + -68b + 7c = 0

Solving for variable 'a'.

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

Add '68b' to each side of the equation.
61a + -68b + 68b + 7c = 0 + 68b

Combine like terms: -68b + 68b = 0
61a + 0 + 7c = 0 + 68b
61a + 7c = 0 + 68b
Remove the zero:
61a + 7c = 68b

Add '-7c' to each side of the equation.
61a + 7c + -7c = 68b + -7c

Combine like terms: 7c + -7c = 0
61a + 0 = 68b + -7c
61a = 68b + -7c

Divide each side by '61'.
a = 1.114754098b + -0.1147540984c

Simplifying
a = 1.114754098b + -0.1147540984c

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