.5a-3=7-.75a

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Solution for .5a-3=7-.75a equation:


Simplifying
0.5a + -3 = 7 + -0.75a

Reorder the terms:
-3 + 0.5a = 7 + -0.75a

Solving
-3 + 0.5a = 7 + -0.75a

Solving for variable 'a'.

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

Add '0.75a' to each side of the equation.
-3 + 0.5a + 0.75a = 7 + -0.75a + 0.75a

Combine like terms: 0.5a + 0.75a = 1.25a
-3 + 1.25a = 7 + -0.75a + 0.75a

Combine like terms: -0.75a + 0.75a = 0.00
-3 + 1.25a = 7 + 0.00
-3 + 1.25a = 7

Add '3' to each side of the equation.
-3 + 3 + 1.25a = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 1.25a = 7 + 3
1.25a = 7 + 3

Combine like terms: 7 + 3 = 10
1.25a = 10

Divide each side by '1.25'.
a = 8

Simplifying
a = 8

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