-3(a-2)=-27+8a

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Solution for -3(a-2)=-27+8a equation:


Simplifying
-3(a + -2) = -27 + 8a

Reorder the terms:
-3(-2 + a) = -27 + 8a
(-2 * -3 + a * -3) = -27 + 8a
(6 + -3a) = -27 + 8a

Solving
6 + -3a = -27 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + -3a + -8a = -27 + 8a + -8a

Combine like terms: -3a + -8a = -11a
6 + -11a = -27 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -11a = -27 + 0
6 + -11a = -27

Add '-6' to each side of the equation.
6 + -6 + -11a = -27 + -6

Combine like terms: 6 + -6 = 0
0 + -11a = -27 + -6
-11a = -27 + -6

Combine like terms: -27 + -6 = -33
-11a = -33

Divide each side by '-11'.
a = 3

Simplifying
a = 3

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