4a-6=6(a+2)8

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Solution for 4a-6=6(a+2)8 equation:


Simplifying
4a + -6 = 6(a + 2) * 8

Reorder the terms:
-6 + 4a = 6(a + 2) * 8

Reorder the terms:
-6 + 4a = 6(2 + a) * 8

Reorder the terms for easier multiplication:
-6 + 4a = 6 * 8(2 + a)

Multiply 6 * 8
-6 + 4a = 48(2 + a)
-6 + 4a = (2 * 48 + a * 48)
-6 + 4a = (96 + 48a)

Solving
-6 + 4a = 96 + 48a

Solving for variable 'a'.

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

Add '-48a' to each side of the equation.
-6 + 4a + -48a = 96 + 48a + -48a

Combine like terms: 4a + -48a = -44a
-6 + -44a = 96 + 48a + -48a

Combine like terms: 48a + -48a = 0
-6 + -44a = 96 + 0
-6 + -44a = 96

Add '6' to each side of the equation.
-6 + 6 + -44a = 96 + 6

Combine like terms: -6 + 6 = 0
0 + -44a = 96 + 6
-44a = 96 + 6

Combine like terms: 96 + 6 = 102
-44a = 102

Divide each side by '-44'.
a = -2.318181818

Simplifying
a = -2.318181818

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