(2(4a+1))+(7a+-2)=180

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Solution for (2(4a+1))+(7a+-2)=180 equation: 


Simplifying
(2(4a + 1)) + (7a + -2) = 180

Reorder the terms:
(2(1 + 4a)) + (7a + -2) = 180
((1 * 2 + 4a * 2)) + (7a + -2) = 180
((2 + 8a)) + (7a + -2) = 180
(2 + 8a) + (7a + -2) = 180

Remove parenthesis around (2 + 8a)
2 + 8a + (7a + -2) = 180

Reorder the terms:
2 + 8a + (-2 + 7a) = 180

Remove parenthesis around (-2 + 7a)
2 + 8a + -2 + 7a = 180

Reorder the terms:
2 + -2 + 8a + 7a = 180

Combine like terms: 2 + -2 = 0
0 + 8a + 7a = 180
8a + 7a = 180

Combine like terms: 8a + 7a = 15a
15a = 180

Solving
15a = 180

Solving for variable 'a'.

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

Divide each side by '15'.
a = 12

Simplifying
a = 12

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