8(a)-12=16(a-2)

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Solution for 8(a)-12=16(a-2) equation:


Simplifying
8(a) + -12 = 16(a + -2)

Reorder the terms:
-12 + 8a = 16(a + -2)

Reorder the terms:
-12 + 8a = 16(-2 + a)
-12 + 8a = (-2 * 16 + a * 16)
-12 + 8a = (-32 + 16a)

Solving
-12 + 8a = -32 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
-12 + 8a + -16a = -32 + 16a + -16a

Combine like terms: 8a + -16a = -8a
-12 + -8a = -32 + 16a + -16a

Combine like terms: 16a + -16a = 0
-12 + -8a = -32 + 0
-12 + -8a = -32

Add '12' to each side of the equation.
-12 + 12 + -8a = -32 + 12

Combine like terms: -12 + 12 = 0
0 + -8a = -32 + 12
-8a = -32 + 12

Combine like terms: -32 + 12 = -20
-8a = -20

Divide each side by '-8'.
a = 2.5

Simplifying
a = 2.5

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