9[4-2(a-2)]=9(2-4a)

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Solution for 9[4-2(a-2)]=9(2-4a) equation:


Simplifying
9[4 + -2(a + -2)] = 9(2 + -4a)

Reorder the terms:
9[4 + -2(-2 + a)] = 9(2 + -4a)
9[4 + (-2 * -2 + a * -2)] = 9(2 + -4a)
9[4 + (4 + -2a)] = 9(2 + -4a)

Combine like terms: 4 + 4 = 8
9[8 + -2a] = 9(2 + -4a)
[8 * 9 + -2a * 9] = 9(2 + -4a)
[72 + -18a] = 9(2 + -4a)
72 + -18a = (2 * 9 + -4a * 9)
72 + -18a = (18 + -36a)

Solving
72 + -18a = 18 + -36a

Solving for variable 'a'.

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

Add '36a' to each side of the equation.
72 + -18a + 36a = 18 + -36a + 36a

Combine like terms: -18a + 36a = 18a
72 + 18a = 18 + -36a + 36a

Combine like terms: -36a + 36a = 0
72 + 18a = 18 + 0
72 + 18a = 18

Add '-72' to each side of the equation.
72 + -72 + 18a = 18 + -72

Combine like terms: 72 + -72 = 0
0 + 18a = 18 + -72
18a = 18 + -72

Combine like terms: 18 + -72 = -54
18a = -54

Divide each side by '18'.
a = -3

Simplifying
a = -3

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