(xy-ab-6)-(xy-7ab-3)=

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Solution for (xy-ab-6)-(xy-7ab-3)= equation:


Simplifying
(xy + -1ab + -6) + -1(xy + -7ab + -3) = 0

Reorder the terms:
(-6 + -1ab + xy) + -1(xy + -7ab + -3) = 0

Remove parenthesis around (-6 + -1ab + xy)
-6 + -1ab + xy + -1(xy + -7ab + -3) = 0

Reorder the terms:
-6 + -1ab + xy + -1(-3 + -7ab + xy) = 0
-6 + -1ab + xy + (-3 * -1 + -7ab * -1 + xy * -1) = 0
-6 + -1ab + xy + (3 + 7ab + -1xy) = 0

Reorder the terms:
-6 + 3 + -1ab + 7ab + xy + -1xy = 0

Combine like terms: -6 + 3 = -3
-3 + -1ab + 7ab + xy + -1xy = 0

Combine like terms: -1ab + 7ab = 6ab
-3 + 6ab + xy + -1xy = 0

Combine like terms: xy + -1xy = 0
-3 + 6ab + 0 = 0
-3 + 6ab = 0

Solving
-3 + 6ab = 0

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 6ab = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6ab = 0 + 3
6ab = 0 + 3

Combine like terms: 0 + 3 = 3
6ab = 3

Divide each side by '6b'.
a = 0.5b-1

Simplifying
a = 0.5b-1

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