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

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


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

Reorder the terms:
6(-4 + 3a) + -30 = 3(2a + -4)
(-4 * 6 + 3a * 6) + -30 = 3(2a + -4)
(-24 + 18a) + -30 = 3(2a + -4)

Reorder the terms:
-24 + -30 + 18a = 3(2a + -4)

Combine like terms: -24 + -30 = -54
-54 + 18a = 3(2a + -4)

Reorder the terms:
-54 + 18a = 3(-4 + 2a)
-54 + 18a = (-4 * 3 + 2a * 3)
-54 + 18a = (-12 + 6a)

Solving
-54 + 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.
-54 + 18a + -6a = -12 + 6a + -6a

Combine like terms: 18a + -6a = 12a
-54 + 12a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
-54 + 12a = -12 + 0
-54 + 12a = -12

Add '54' to each side of the equation.
-54 + 54 + 12a = -12 + 54

Combine like terms: -54 + 54 = 0
0 + 12a = -12 + 54
12a = -12 + 54

Combine like terms: -12 + 54 = 42
12a = 42

Divide each side by '12'.
a = 3.5

Simplifying
a = 3.5

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