(3a+4)4+6=2a

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


Simplifying
(3a + 4) * 4 + 6 = 2a

Reorder the terms:
(4 + 3a) * 4 + 6 = 2a

Reorder the terms for easier multiplication:
4(4 + 3a) + 6 = 2a
(4 * 4 + 3a * 4) + 6 = 2a
(16 + 12a) + 6 = 2a

Reorder the terms:
16 + 6 + 12a = 2a

Combine like terms: 16 + 6 = 22
22 + 12a = 2a

Solving
22 + 12a = 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.
22 + 12a + -2a = 2a + -2a

Combine like terms: 12a + -2a = 10a
22 + 10a = 2a + -2a

Combine like terms: 2a + -2a = 0
22 + 10a = 0

Add '-22' to each side of the equation.
22 + -22 + 10a = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 10a = 0 + -22
10a = 0 + -22

Combine like terms: 0 + -22 = -22
10a = -22

Divide each side by '10'.
a = -2.2

Simplifying
a = -2.2

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