(24-a)+(20-a)=10

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Solution for (24-a)+(20-a)=10 equation:


Simplifying
(24 + -1a) + (20 + -1a) = 10

Remove parenthesis around (24 + -1a)
24 + -1a + (20 + -1a) = 10

Remove parenthesis around (20 + -1a)
24 + -1a + 20 + -1a = 10

Reorder the terms:
24 + 20 + -1a + -1a = 10

Combine like terms: 24 + 20 = 44
44 + -1a + -1a = 10

Combine like terms: -1a + -1a = -2a
44 + -2a = 10

Solving
44 + -2a = 10

Solving for variable 'a'.

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

Add '-44' to each side of the equation.
44 + -44 + -2a = 10 + -44

Combine like terms: 44 + -44 = 0
0 + -2a = 10 + -44
-2a = 10 + -44

Combine like terms: 10 + -44 = -34
-2a = -34

Divide each side by '-2'.
a = 17

Simplifying
a = 17

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