6(a-4)=4a+6

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Solution for 6(a-4)=4a+6 equation:


Simplifying
6(a + -4) = 4a + 6

Reorder the terms:
6(-4 + a) = 4a + 6
(-4 * 6 + a * 6) = 4a + 6
(-24 + 6a) = 4a + 6

Reorder the terms:
-24 + 6a = 6 + 4a

Solving
-24 + 6a = 6 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-24 + 6a + -4a = 6 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
-24 + 2a = 6 + 0
-24 + 2a = 6

Add '24' to each side of the equation.
-24 + 24 + 2a = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 2a = 6 + 24
2a = 6 + 24

Combine like terms: 6 + 24 = 30
2a = 30

Divide each side by '2'.
a = 15

Simplifying
a = 15

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