(5a-39)+(3a+27)=180

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Solution for (5a-39)+(3a+27)=180 equation:


Simplifying
(5a + -39) + (3a + 27) = 180

Reorder the terms:
(-39 + 5a) + (3a + 27) = 180

Remove parenthesis around (-39 + 5a)
-39 + 5a + (3a + 27) = 180

Reorder the terms:
-39 + 5a + (27 + 3a) = 180

Remove parenthesis around (27 + 3a)
-39 + 5a + 27 + 3a = 180

Reorder the terms:
-39 + 27 + 5a + 3a = 180

Combine like terms: -39 + 27 = -12
-12 + 5a + 3a = 180

Combine like terms: 5a + 3a = 8a
-12 + 8a = 180

Solving
-12 + 8a = 180

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 12 + 8a = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 8a = 180 + 12
8a = 180 + 12

Combine like terms: 180 + 12 = 192
8a = 192

Divide each side by '8'.
a = 24

Simplifying
a = 24

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