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

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


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

Reorder the terms:
4(-4 + a) = 4a + -1(2a + 4)
(-4 * 4 + a * 4) = 4a + -1(2a + 4)
(-16 + 4a) = 4a + -1(2a + 4)

Reorder the terms:
-16 + 4a = 4a + -1(4 + 2a)
-16 + 4a = 4a + (4 * -1 + 2a * -1)
-16 + 4a = 4a + (-4 + -2a)

Reorder the terms:
-16 + 4a = -4 + 4a + -2a

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

Solving
-16 + 4a = -4 + 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.
-16 + 4a + -2a = -4 + 2a + -2a

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

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

Add '16' to each side of the equation.
-16 + 16 + 2a = -4 + 16

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

Combine like terms: -4 + 16 = 12
2a = 12

Divide each side by '2'.
a = 6

Simplifying
a = 6

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