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

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


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

Reorder the terms:
2(-4 + a) = 4a + -1(2d + 4)
(-4 * 2 + a * 2) = 4a + -1(2d + 4)
(-8 + 2a) = 4a + -1(2d + 4)

Reorder the terms:
-8 + 2a = 4a + -1(4 + 2d)
-8 + 2a = 4a + (4 * -1 + 2d * -1)
-8 + 2a = 4a + (-4 + -2d)

Reorder the terms:
-8 + 2a = -4 + 4a + -2d

Solving
-8 + 2a = -4 + 4a + -2d

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-8 + 2a + -4a = -4 + 4a + -4a + -2d

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

Combine like terms: 4a + -4a = 0
-8 + -2a = -4 + 0 + -2d
-8 + -2a = -4 + -2d

Add '8' to each side of the equation.
-8 + 8 + -2a = -4 + 8 + -2d

Combine like terms: -8 + 8 = 0
0 + -2a = -4 + 8 + -2d
-2a = -4 + 8 + -2d

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

Divide each side by '-2'.
a = -2 + d

Simplifying
a = -2 + d

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