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

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


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

Remove parenthesis around (-3a + 2b)
-3a + 2b + -1(-2a + -1b) + (-5a + 2b) + -3a + b = 0
-3a + 2b + (-2a * -1 + -1b * -1) + (-5a + 2b) + -3a + b = 0
-3a + 2b + (2a + 1b) + (-5a + 2b) + -3a + b = 0

Remove parenthesis around (-5a + 2b)
-3a + 2b + 2a + 1b + -5a + 2b + -3a + b = 0

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

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

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

Combine like terms: -6a + -3a = -9a
-9a + 2b + 1b + 2b + b = 0

Combine like terms: 2b + 1b = 3b
-9a + 3b + 2b + b = 0

Combine like terms: 3b + 2b = 5b
-9a + 5b + b = 0

Combine like terms: 5b + b = 6b
-9a + 6b = 0

Solving
-9a + 6b = 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.
-9a + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
-9a + 0 = 0 + -6b
-9a = 0 + -6b
Remove the zero:
-9a = -6b

Divide each side by '-9'.
a = 0.6666666667b

Simplifying
a = 0.6666666667b

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