0.05a+0.08(100-a)=6.2

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Solution for 0.05a+0.08(100-a)=6.2 equation:


Simplifying
0.05a + 0.08(100 + -1a) = 6.2
0.05a + (100 * 0.08 + -1a * 0.08) = 6.2
0.05a + (8 + -0.08a) = 6.2

Reorder the terms:
8 + 0.05a + -0.08a = 6.2

Combine like terms: 0.05a + -0.08a = -0.03a
8 + -0.03a = 6.2

Solving
8 + -0.03a = 6.2

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + -0.03a = 6.2 + -8

Combine like terms: 8 + -8 = 0
0 + -0.03a = 6.2 + -8
-0.03a = 6.2 + -8

Combine like terms: 6.2 + -8 = -1.8
-0.03a = -1.8

Divide each side by '-0.03'.
a = 60

Simplifying
a = 60

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