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

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


Simplifying
10(9a + 9b) + -9(a + 8b) = 0
(9a * 10 + 9b * 10) + -9(a + 8b) = 0
(90a + 90b) + -9(a + 8b) = 0
90a + 90b + (a * -9 + 8b * -9) = 0
90a + 90b + (-9a + -72b) = 0

Reorder the terms:
90a + -9a + 90b + -72b = 0

Combine like terms: 90a + -9a = 81a
81a + 90b + -72b = 0

Combine like terms: 90b + -72b = 18b
81a + 18b = 0

Solving
81a + 18b = 0

Solving for variable 'a'.

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

Add '-18b' to each side of the equation.
81a + 18b + -18b = 0 + -18b

Combine like terms: 18b + -18b = 0
81a + 0 = 0 + -18b
81a = 0 + -18b
Remove the zero:
81a = -18b

Divide each side by '81'.
a = -0.2222222222b

Simplifying
a = -0.2222222222b

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