6(3a+1)-30=2a-4

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Solution for 6(3a+1)-30=2a-4 equation:


Simplifying
6(3a + 1) + -30 = 2a + -4

Reorder the terms:
6(1 + 3a) + -30 = 2a + -4
(1 * 6 + 3a * 6) + -30 = 2a + -4
(6 + 18a) + -30 = 2a + -4

Reorder the terms:
6 + -30 + 18a = 2a + -4

Combine like terms: 6 + -30 = -24
-24 + 18a = 2a + -4

Reorder the terms:
-24 + 18a = -4 + 2a

Solving
-24 + 18a = -4 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-24 + 18a + -2a = -4 + 2a + -2a

Combine like terms: 18a + -2a = 16a
-24 + 16a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
-24 + 16a = -4 + 0
-24 + 16a = -4

Add '24' to each side of the equation.
-24 + 24 + 16a = -4 + 24

Combine like terms: -24 + 24 = 0
0 + 16a = -4 + 24
16a = -4 + 24

Combine like terms: -4 + 24 = 20
16a = 20

Divide each side by '16'.
a = 1.25

Simplifying
a = 1.25

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