a+0.5a+a-7=38

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Solution for a+0.5a+a-7=38 equation:


Simplifying
a + 0.5a + a + -7 = 38

Reorder the terms:
-7 + a + 0.5a + a = 38

Combine like terms: a + 0.5a = 1.5a
-7 + 1.5a + a = 38

Combine like terms: 1.5a + a = 2.5a
-7 + 2.5a = 38

Solving
-7 + 2.5a = 38

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 2.5a = 38 + 7

Combine like terms: -7 + 7 = 0
0 + 2.5a = 38 + 7
2.5a = 38 + 7

Combine like terms: 38 + 7 = 45
2.5a = 45

Divide each side by '2.5'.
a = 18

Simplifying
a = 18

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