5a-5ab+6a-(2ab-3a)=

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Solution for 5a-5ab+6a-(2ab-3a)= equation: 


Simplifying
5a + -5ab + 6a + -1(2ab + -3a) = 0

Reorder the terms:
5a + -5ab + 6a + -1(-3a + 2ab) = 0
5a + -5ab + 6a + (-3a * -1 + 2ab * -1) = 0
5a + -5ab + 6a + (3a + -2ab) = 0

Reorder the terms:
5a + 6a + 3a + -5ab + -2ab = 0

Combine like terms: 5a + 6a = 11a
11a + 3a + -5ab + -2ab = 0

Combine like terms: 11a + 3a = 14a
14a + -5ab + -2ab = 0

Combine like terms: -5ab + -2ab = -7ab
14a + -7ab = 0

Solving
14a + -7ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '7a'.
7a(2 + -1b) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Add 'b' to each side of the equation.
-1b + b = -2 + b

Combine like terms: -1b + b = 0
0 = -2 + b

Simplifying
0 = -2 + b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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