6(3a+1)-50=3(2a-4)

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Solution for 6(3a+1)-50=3(2a-4) equation:


Simplifying
6(3a + 1) + -50 = 3(2a + -4)

Reorder the terms:
6(1 + 3a) + -50 = 3(2a + -4)
(1 * 6 + 3a * 6) + -50 = 3(2a + -4)
(6 + 18a) + -50 = 3(2a + -4)

Reorder the terms:
6 + -50 + 18a = 3(2a + -4)

Combine like terms: 6 + -50 = -44
-44 + 18a = 3(2a + -4)

Reorder the terms:
-44 + 18a = 3(-4 + 2a)
-44 + 18a = (-4 * 3 + 2a * 3)
-44 + 18a = (-12 + 6a)

Solving
-44 + 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.
-44 + 18a + -6a = -12 + 6a + -6a

Combine like terms: 18a + -6a = 12a
-44 + 12a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
-44 + 12a = -12 + 0
-44 + 12a = -12

Add '44' to each side of the equation.
-44 + 44 + 12a = -12 + 44

Combine like terms: -44 + 44 = 0
0 + 12a = -12 + 44
12a = -12 + 44

Combine like terms: -12 + 44 = 32
12a = 32

Divide each side by '12'.
a = 2.666666667

Simplifying
a = 2.666666667

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