0.5a+0.7(40-a)=24.8

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Solution for 0.5a+0.7(40-a)=24.8 equation: 


Simplifying
0.5a + 0.7(40 + -1a) = 24.8
0.5a + (40 * 0.7 + -1a * 0.7) = 24.8
0.5a + (28 + -0.7a) = 24.8

Reorder the terms:
28 + 0.5a + -0.7a = 24.8

Combine like terms: 0.5a + -0.7a = -0.2a
28 + -0.2a = 24.8

Solving
28 + -0.2a = 24.8

Solving for variable 'a'.

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

Add '-28' to each side of the equation.
28 + -28 + -0.2a = 24.8 + -28

Combine like terms: 28 + -28 = 0
0 + -0.2a = 24.8 + -28
-0.2a = 24.8 + -28

Combine like terms: 24.8 + -28 = -3.2
-0.2a = -3.2

Divide each side by '-0.2'.
a = 16

Simplifying
a = 16

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