a-b+c+-5b+a+2c+-c+3b+2a=

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


Simplifying
a + -1b + c + -5b + a + 2c + -1c + 3b + 2a = 0

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

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

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

Combine like terms: -1b + -5b = -6b
4a + -6b + 3b + c + 2c + -1c = 0

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

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

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

Solving
4a + -3b + 2c = 0

Solving for variable 'a'.

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

Add '3b' to each side of the equation.
4a + -3b + 3b + 2c = 0 + 3b

Combine like terms: -3b + 3b = 0
4a + 0 + 2c = 0 + 3b
4a + 2c = 0 + 3b
Remove the zero:
4a + 2c = 3b

Add '-2c' to each side of the equation.
4a + 2c + -2c = 3b + -2c

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

Divide each side by '4'.
a = 0.75b + -0.5c

Simplifying
a = 0.75b + -0.5c

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