7(12a+4)=(9a+6)

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Solution for 7(12a+4)=(9a+6) equation:


Simplifying
7(12a + 4) = (9a + 6)

Reorder the terms:
7(4 + 12a) = (9a + 6)
(4 * 7 + 12a * 7) = (9a + 6)
(28 + 84a) = (9a + 6)

Reorder the terms:
28 + 84a = (6 + 9a)

Remove parenthesis around (6 + 9a)
28 + 84a = 6 + 9a

Solving
28 + 84a = 6 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
28 + 84a + -9a = 6 + 9a + -9a

Combine like terms: 84a + -9a = 75a
28 + 75a = 6 + 9a + -9a

Combine like terms: 9a + -9a = 0
28 + 75a = 6 + 0
28 + 75a = 6

Add '-28' to each side of the equation.
28 + -28 + 75a = 6 + -28

Combine like terms: 28 + -28 = 0
0 + 75a = 6 + -28
75a = 6 + -28

Combine like terms: 6 + -28 = -22
75a = -22

Divide each side by '75'.
a = -0.2933333333

Simplifying
a = -0.2933333333

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