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

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


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

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

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

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

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

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

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

Combine like terms: 3a + 5a = 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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