9a+12=24a-4(16+3a)

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Solution for 9a+12=24a-4(16+3a) equation:


Simplifying
9a + 12 = 24a + -4(16 + 3a)

Reorder the terms:
12 + 9a = 24a + -4(16 + 3a)
12 + 9a = 24a + (16 * -4 + 3a * -4)
12 + 9a = 24a + (-64 + -12a)

Reorder the terms:
12 + 9a = -64 + 24a + -12a

Combine like terms: 24a + -12a = 12a
12 + 9a = -64 + 12a

Solving
12 + 9a = -64 + 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.
12 + 9a + -12a = -64 + 12a + -12a

Combine like terms: 9a + -12a = -3a
12 + -3a = -64 + 12a + -12a

Combine like terms: 12a + -12a = 0
12 + -3a = -64 + 0
12 + -3a = -64

Add '-12' to each side of the equation.
12 + -12 + -3a = -64 + -12

Combine like terms: 12 + -12 = 0
0 + -3a = -64 + -12
-3a = -64 + -12

Combine like terms: -64 + -12 = -76
-3a = -76

Divide each side by '-3'.
a = 25.33333333

Simplifying
a = 25.33333333

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