-2(8a+4)+6=2(a+8)

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Solution for -2(8a+4)+6=2(a+8) equation:


Simplifying
-2(8a + 4) + 6 = 2(a + 8)

Reorder the terms:
-2(4 + 8a) + 6 = 2(a + 8)
(4 * -2 + 8a * -2) + 6 = 2(a + 8)
(-8 + -16a) + 6 = 2(a + 8)

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

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

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

Solving
-2 + -16a = 16 + 2a

Solving for variable 'a'.

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

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

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

Combine like terms: 2a + -2a = 0
-2 + -18a = 16 + 0
-2 + -18a = 16

Add '2' to each side of the equation.
-2 + 2 + -18a = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -18a = 16 + 2
-18a = 16 + 2

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

Divide each side by '-18'.
a = -1

Simplifying
a = -1

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