6(3a+1)-30=6a-12

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Solution for 6(3a+1)-30=6a-12 equation:


Simplifying
6(3a + 1) + -30 = 6a + -12

Reorder the terms:
6(1 + 3a) + -30 = 6a + -12
(1 * 6 + 3a * 6) + -30 = 6a + -12
(6 + 18a) + -30 = 6a + -12

Reorder the terms:
6 + -30 + 18a = 6a + -12

Combine like terms: 6 + -30 = -24
-24 + 18a = 6a + -12

Reorder the terms:
-24 + 18a = -12 + 6a

Solving
-24 + 18a = -12 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-24 + 18a + -6a = -12 + 6a + -6a

Combine like terms: 18a + -6a = 12a
-24 + 12a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
-24 + 12a = -12 + 0
-24 + 12a = -12

Add '24' to each side of the equation.
-24 + 24 + 12a = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 12a = -12 + 24
12a = -12 + 24

Combine like terms: -12 + 24 = 12
12a = 12

Divide each side by '12'.
a = 1

Simplifying
a = 1

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