30-8a=-3(6a+6)-2

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Solution for 30-8a=-3(6a+6)-2 equation:


Simplifying
30 + -8a = -3(6a + 6) + -2

Reorder the terms:
30 + -8a = -3(6 + 6a) + -2
30 + -8a = (6 * -3 + 6a * -3) + -2
30 + -8a = (-18 + -18a) + -2

Reorder the terms:
30 + -8a = -18 + -2 + -18a

Combine like terms: -18 + -2 = -20
30 + -8a = -20 + -18a

Solving
30 + -8a = -20 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
30 + -8a + 18a = -20 + -18a + 18a

Combine like terms: -8a + 18a = 10a
30 + 10a = -20 + -18a + 18a

Combine like terms: -18a + 18a = 0
30 + 10a = -20 + 0
30 + 10a = -20

Add '-30' to each side of the equation.
30 + -30 + 10a = -20 + -30

Combine like terms: 30 + -30 = 0
0 + 10a = -20 + -30
10a = -20 + -30

Combine like terms: -20 + -30 = -50
10a = -50

Divide each side by '10'.
a = -5

Simplifying
a = -5

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