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

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


Simplifying
4b + -1(3a + -4b + -1c) + -1(5c + 2b) = 0
4b + (3a * -1 + -4b * -1 + -1c * -1) + -1(5c + 2b) = 0
4b + (-3a + 4b + 1c) + -1(5c + 2b) = 0

Reorder the terms:
4b + -3a + 4b + 1c + -1(2b + 5c) = 0
4b + -3a + 4b + 1c + (2b * -1 + 5c * -1) = 0
4b + -3a + 4b + 1c + (-2b + -5c) = 0

Reorder the terms:
-3a + 4b + 4b + -2b + 1c + -5c = 0

Combine like terms: 4b + 4b = 8b
-3a + 8b + -2b + 1c + -5c = 0

Combine like terms: 8b + -2b = 6b
-3a + 6b + 1c + -5c = 0

Combine like terms: 1c + -5c = -4c
-3a + 6b + -4c = 0

Solving
-3a + 6b + -4c = 0

Solving for variable 'a'.

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

Add '-6b' to each side of the equation.
-3a + 6b + -6b + -4c = 0 + -6b

Combine like terms: 6b + -6b = 0
-3a + 0 + -4c = 0 + -6b
-3a + -4c = 0 + -6b
Remove the zero:
-3a + -4c = -6b

Add '4c' to each side of the equation.
-3a + -4c + 4c = -6b + 4c

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

Divide each side by '-3'.
a = 2b + -1.333333333c

Simplifying
a = 2b + -1.333333333c

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