2a-(3b-4a)+2(3c+2b)-c=

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


Simplifying
2a + -1(3b + -4a) + 2(3c + 2b) + -1c = 0

Reorder the terms:
2a + -1(-4a + 3b) + 2(3c + 2b) + -1c = 0
2a + (-4a * -1 + 3b * -1) + 2(3c + 2b) + -1c = 0
2a + (4a + -3b) + 2(3c + 2b) + -1c = 0

Reorder the terms:
2a + 4a + -3b + 2(2b + 3c) + -1c = 0
2a + 4a + -3b + (2b * 2 + 3c * 2) + -1c = 0
2a + 4a + -3b + (4b + 6c) + -1c = 0

Combine like terms: 2a + 4a = 6a
6a + -3b + 4b + 6c + -1c = 0

Combine like terms: -3b + 4b = 1b
6a + 1b + 6c + -1c = 0

Combine like terms: 6c + -1c = 5c
6a + 1b + 5c = 0

Solving
6a + 1b + 5c = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
6a + 1b + -1b + 5c = 0 + -1b

Combine like terms: 1b + -1b = 0
6a + 0 + 5c = 0 + -1b
6a + 5c = 0 + -1b
Remove the zero:
6a + 5c = -1b

Add '-5c' to each side of the equation.
6a + 5c + -5c = -1b + -5c

Combine like terms: 5c + -5c = 0
6a + 0 = -1b + -5c
6a = -1b + -5c

Divide each side by '6'.
a = -0.1666666667b + -0.8333333333c

Simplifying
a = -0.1666666667b + -0.8333333333c

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