9a-3[a-6]=-6

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Solution for 9a-3[a-6]=-6 equation:


Simplifying
9a + -3[a + -6] = -6

Reorder the terms:
9a + -3[-6 + a] = -6
9a + [-6 * -3 + a * -3] = -6
9a + [18 + -3a] = -6

Reorder the terms:
18 + 9a + -3a = -6

Combine like terms: 9a + -3a = 6a
18 + 6a = -6

Solving
18 + 6a = -6

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + 6a = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 6a = -6 + -18
6a = -6 + -18

Combine like terms: -6 + -18 = -24
6a = -24

Divide each side by '6'.
a = -4

Simplifying
a = -4

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