2(a-4)+3(a+2)=16

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Solution for 2(a-4)+3(a+2)=16 equation: 


Simplifying
2(a + -4) + 3(a + 2) = 16

Reorder the terms:
2(-4 + a) + 3(a + 2) = 16
(-4 * 2 + a * 2) + 3(a + 2) = 16
(-8 + 2a) + 3(a + 2) = 16

Reorder the terms:
-8 + 2a + 3(2 + a) = 16
-8 + 2a + (2 * 3 + a * 3) = 16
-8 + 2a + (6 + 3a) = 16

Reorder the terms:
-8 + 6 + 2a + 3a = 16

Combine like terms: -8 + 6 = -2
-2 + 2a + 3a = 16

Combine like terms: 2a + 3a = 5a
-2 + 5a = 16

Solving
-2 + 5a = 16

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 5a = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 5a = 16 + 2
5a = 16 + 2

Combine like terms: 16 + 2 = 18
5a = 18

Divide each side by '5'.
a = 3.6

Simplifying
a = 3.6

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