9(4a-2)=12(a+8)

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Solution for 9(4a-2)=12(a+8) equation:


Simplifying
9(4a + -2) = 12(a + 8)

Reorder the terms:
9(-2 + 4a) = 12(a + 8)
(-2 * 9 + 4a * 9) = 12(a + 8)
(-18 + 36a) = 12(a + 8)

Reorder the terms:
-18 + 36a = 12(8 + a)
-18 + 36a = (8 * 12 + a * 12)
-18 + 36a = (96 + 12a)

Solving
-18 + 36a = 96 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-18 + 36a + -12a = 96 + 12a + -12a

Combine like terms: 36a + -12a = 24a
-18 + 24a = 96 + 12a + -12a

Combine like terms: 12a + -12a = 0
-18 + 24a = 96 + 0
-18 + 24a = 96

Add '18' to each side of the equation.
-18 + 18 + 24a = 96 + 18

Combine like terms: -18 + 18 = 0
0 + 24a = 96 + 18
24a = 96 + 18

Combine like terms: 96 + 18 = 114
24a = 114

Divide each side by '24'.
a = 4.75

Simplifying
a = 4.75

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