8(a+3)=[a-(2-a)]

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Solution for 8(a+3)=[a-(2-a)] equation:


Simplifying
8(a + 3) = [a + -1(2 + -1a)]

Reorder the terms:
8(3 + a) = [a + -1(2 + -1a)]
(3 * 8 + a * 8) = [a + -1(2 + -1a)]
(24 + 8a) = [a + -1(2 + -1a)]
24 + 8a = [a + (2 * -1 + -1a * -1)]
24 + 8a = [a + (-2 + 1a)]

Reorder the terms:
24 + 8a = [-2 + a + 1a]

Combine like terms: a + 1a = 2a
24 + 8a = [-2 + 2a]

Remove brackets around [-2 + 2a]
24 + 8a = -2 + 2a

Solving
24 + 8a = -2 + 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.
24 + 8a + -2a = -2 + 2a + -2a

Combine like terms: 8a + -2a = 6a
24 + 6a = -2 + 2a + -2a

Combine like terms: 2a + -2a = 0
24 + 6a = -2 + 0
24 + 6a = -2

Add '-24' to each side of the equation.
24 + -24 + 6a = -2 + -24

Combine like terms: 24 + -24 = 0
0 + 6a = -2 + -24
6a = -2 + -24

Combine like terms: -2 + -24 = -26
6a = -26

Divide each side by '6'.
a = -4.333333333

Simplifying
a = -4.333333333

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