6ab-2b(2a+1)+a(b-3)+2b=3ab-3a

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Solution for 6ab-2b(2a+1)+a(b-3)+2b=3ab-3a equation:


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

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

Reorder the terms:
6ab + (-4ab + -2b) + a(b + -3) + 2b = 3ab + -3a
6ab + (-4ab + -2b) + a(b + -3) + 2b = 3ab + -3a

Reorder the terms:
6ab + -4ab + -2b + a(-3 + b) + 2b = 3ab + -3a
6ab + -4ab + -2b + (-3 * a + b * a) + 2b = 3ab + -3a
6ab + -4ab + -2b + (-3a + ab) + 2b = 3ab + -3a

Reorder the terms:
-3a + 6ab + -4ab + ab + -2b + 2b = 3ab + -3a

Combine like terms: 6ab + -4ab = 2ab
-3a + 2ab + ab + -2b + 2b = 3ab + -3a

Combine like terms: 2ab + ab = 3ab
-3a + 3ab + -2b + 2b = 3ab + -3a

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

Reorder the terms:
-3a + 3ab = -3a + 3ab

Add '3a' to each side of the equation.
-3a + 3a + 3ab = -3a + 3a + 3ab

Combine like terms: -3a + 3a = 0
0 + 3ab = -3a + 3a + 3ab
3ab = -3a + 3a + 3ab

Combine like terms: -3a + 3a = 0
3ab = 0 + 3ab
3ab = 3ab

Add '-3ab' to each side of the equation.
3ab + -3ab = 3ab + -3ab

Combine like terms: 3ab + -3ab = 0
0 = 3ab + -3ab

Combine like terms: 3ab + -3ab = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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