0.08a+0.09(100-a)=8.8

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Solution for 0.08a+0.09(100-a)=8.8 equation:


Simplifying
0.08a + 0.09(100 + -1a) = 8.8
0.08a + (100 * 0.09 + -1a * 0.09) = 8.8
0.08a + (9 + -0.09a) = 8.8

Reorder the terms:
9 + 0.08a + -0.09a = 8.8

Combine like terms: 0.08a + -0.09a = -0.01a
9 + -0.01a = 8.8

Solving
9 + -0.01a = 8.8

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + -0.01a = 8.8 + -9

Combine like terms: 9 + -9 = 0
0 + -0.01a = 8.8 + -9
-0.01a = 8.8 + -9

Combine like terms: 8.8 + -9 = -0.2
-0.01a = -0.2

Divide each side by '-0.01'.
a = 20

Simplifying
a = 20

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