0.5a+3=a-20

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Solution for 0.5a+3=a-20 equation:


Simplifying
0.5a + 3 = a + -20

Reorder the terms:
3 + 0.5a = a + -20

Reorder the terms:
3 + 0.5a = -20 + a

Solving
3 + 0.5a = -20 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
3 + 0.5a + -1a = -20 + a + -1a

Combine like terms: 0.5a + -1a = -0.5a
3 + -0.5a = -20 + a + -1a

Combine like terms: a + -1a = 0
3 + -0.5a = -20 + 0
3 + -0.5a = -20

Add '-3' to each side of the equation.
3 + -3 + -0.5a = -20 + -3

Combine like terms: 3 + -3 = 0
0 + -0.5a = -20 + -3
-0.5a = -20 + -3

Combine like terms: -20 + -3 = -23
-0.5a = -23

Divide each side by '-0.5'.
a = 46

Simplifying
a = 46

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