2(a-4)+3(3a)=-30

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Solution for 2(a-4)+3(3a)=-30 equation: 


Simplifying
2(a + -4) + 3(3a) = -30

Reorder the terms:
2(-4 + a) + 3(3a) = -30
(-4 * 2 + a * 2) + 3(3a) = -30
(-8 + 2a) + 3(3a) = -30

Remove parenthesis around (3a)
-8 + 2a + 3 * 3a = -30

Multiply 3 * 3
-8 + 2a + 9a = -30

Combine like terms: 2a + 9a = 11a
-8 + 11a = -30

Solving
-8 + 11a = -30

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + 11a = -30 + 8

Combine like terms: -8 + 8 = 0
0 + 11a = -30 + 8
11a = -30 + 8

Combine like terms: -30 + 8 = -22
11a = -22

Divide each side by '11'.
a = -2

Simplifying
a = -2

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