=(5ab+7)-(3ab+6)

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Solution for =(5ab+7)-(3ab+6) equation:


Simplifying
0 = (5ab + 7) + -1(3ab + 6)

Reorder the terms:
0 = (7 + 5ab) + -1(3ab + 6)

Remove parenthesis around (7 + 5ab)
0 = 7 + 5ab + -1(3ab + 6)

Reorder the terms:
0 = 7 + 5ab + -1(6 + 3ab)
0 = 7 + 5ab + (6 * -1 + 3ab * -1)
0 = 7 + 5ab + (-6 + -3ab)

Reorder the terms:
0 = 7 + -6 + 5ab + -3ab

Combine like terms: 7 + -6 = 1
0 = 1 + 5ab + -3ab

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

Solving
0 = 1 + 2ab

Solving for variable 'a'.

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

Add '-2ab' to each side of the equation.
0 + -2ab = 1 + 2ab + -2ab
Remove the zero:
-2ab = 1 + 2ab + -2ab

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

Divide each side by '-2b'.
a = -0.5b-1

Simplifying
a = -0.5b-1

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