7(2ab-1a)=2(2a-1ab)

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Solution for 7(2ab-1a)=2(2a-1ab) equation: 


Simplifying
7(2ab + -1a) = 2(2a + -1ab)

Reorder the terms:
7(-1a + 2ab) = 2(2a + -1ab)
(-1a * 7 + 2ab * 7) = 2(2a + -1ab)
(-7a + 14ab) = 2(2a + -1ab)
-7a + 14ab = (2a * 2 + -1ab * 2)
-7a + 14ab = (4a + -2ab)

Solving
-7a + 14ab = 4a + -2ab

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-7a + -4a + 14ab = 4a + -4a + -2ab

Combine like terms: -7a + -4a = -11a
-11a + 14ab = 4a + -4a + -2ab

Combine like terms: 4a + -4a = 0
-11a + 14ab = 0 + -2ab
-11a + 14ab = -2ab

Add '2ab' to each side of the equation.
-11a + 14ab + 2ab = -2ab + 2ab

Combine like terms: 14ab + 2ab = 16ab
-11a + 16ab = -2ab + 2ab

Combine like terms: -2ab + 2ab = 0
-11a + 16ab = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-11 + 16b) = 0


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 '(-11 + 16b)' equal to zero and attempt to solve:

Simplifying
-11 + 16b = 0

Solving
-11 + 16b = 0

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

Add '11' to each side of the equation.
-11 + 11 + 16b = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 16b = 0 + 11
16b = 0 + 11

Combine like terms: 0 + 11 = 11
16b = 11

Add '-16b' to each side of the equation.
16b + -16b = 11 + -16b

Combine like terms: 16b + -16b = 0
0 = 11 + -16b

Simplifying
0 = 11 + -16b

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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