5a+(3+b)a=8a-ab

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Solution for 5a+(3+b)a=8a-ab equation:


Simplifying
5a + (3 + b) * a = 8a + -1ab

Reorder the terms for easier multiplication:
5a + a(3 + b) = 8a + -1ab
5a + (3 * a + b * a) = 8a + -1ab
5a + (3a + ab) = 8a + -1ab

Combine like terms: 5a + 3a = 8a
8a + ab = 8a + -1ab

Add '-8a' to each side of the equation.
8a + -8a + ab = 8a + -8a + -1ab

Combine like terms: 8a + -8a = 0
0 + ab = 8a + -8a + -1ab
ab = 8a + -8a + -1ab

Combine like terms: 8a + -8a = 0
ab = 0 + -1ab
ab = -1ab

Solving
ab = -1ab

Solving for variable 'a'.

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

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

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

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

Divide each side by '2'.
ab = 0

Simplifying
ab = 0

The solution to this equation could not be determined.

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