10(9a+9)=10(9-8a)

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Solution for 10(9a+9)=10(9-8a) equation:


Simplifying
10(9a + 9) = 10(9 + -8a)

Reorder the terms:
10(9 + 9a) = 10(9 + -8a)
(9 * 10 + 9a * 10) = 10(9 + -8a)
(90 + 90a) = 10(9 + -8a)
90 + 90a = (9 * 10 + -8a * 10)
90 + 90a = (90 + -80a)

Add '-90' to each side of the equation.
90 + -90 + 90a = 90 + -90 + -80a

Combine like terms: 90 + -90 = 0
0 + 90a = 90 + -90 + -80a
90a = 90 + -90 + -80a

Combine like terms: 90 + -90 = 0
90a = 0 + -80a
90a = -80a

Solving
90a = -80a

Solving for variable 'a'.

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

Add '80a' to each side of the equation.
90a + 80a = -80a + 80a

Combine like terms: 90a + 80a = 170a
170a = -80a + 80a

Combine like terms: -80a + 80a = 0
170a = 0

Divide each side by '170'.
a = 0

Simplifying
a = 0

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