12(90-a)=(180-a)+12

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Solution for 12(90-a)=(180-a)+12 equation: 


Simplifying
12(90 + -1a) = (180 + -1a) + 12
(90 * 12 + -1a * 12) = (180 + -1a) + 12
(1080 + -12a) = (180 + -1a) + 12

Remove parenthesis around (180 + -1a)
1080 + -12a = 180 + -1a + 12

Reorder the terms:
1080 + -12a = 180 + 12 + -1a

Combine like terms: 180 + 12 = 192
1080 + -12a = 192 + -1a

Solving
1080 + -12a = 192 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
1080 + -12a + a = 192 + -1a + a

Combine like terms: -12a + a = -11a
1080 + -11a = 192 + -1a + a

Combine like terms: -1a + a = 0
1080 + -11a = 192 + 0
1080 + -11a = 192

Add '-1080' to each side of the equation.
1080 + -1080 + -11a = 192 + -1080

Combine like terms: 1080 + -1080 = 0
0 + -11a = 192 + -1080
-11a = 192 + -1080

Combine like terms: 192 + -1080 = -888
-11a = -888

Divide each side by '-11'.
a = 80.72727273

Simplifying
a = 80.72727273

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