-4(1-4a)-2a=2(8a+2)

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Solution for -4(1-4a)-2a=2(8a+2) equation:


Simplifying
-4(1 + -4a) + -2a = 2(8a + 2)
(1 * -4 + -4a * -4) + -2a = 2(8a + 2)
(-4 + 16a) + -2a = 2(8a + 2)

Combine like terms: 16a + -2a = 14a
-4 + 14a = 2(8a + 2)

Reorder the terms:
-4 + 14a = 2(2 + 8a)
-4 + 14a = (2 * 2 + 8a * 2)
-4 + 14a = (4 + 16a)

Solving
-4 + 14a = 4 + 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.
-4 + 14a + -16a = 4 + 16a + -16a

Combine like terms: 14a + -16a = -2a
-4 + -2a = 4 + 16a + -16a

Combine like terms: 16a + -16a = 0
-4 + -2a = 4 + 0
-4 + -2a = 4

Add '4' to each side of the equation.
-4 + 4 + -2a = 4 + 4

Combine like terms: -4 + 4 = 0
0 + -2a = 4 + 4
-2a = 4 + 4

Combine like terms: 4 + 4 = 8
-2a = 8

Divide each side by '-2'.
a = -4

Simplifying
a = -4

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