7(2n-4)=(9n+6)+3

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Solution for 7(2n-4)=(9n+6)+3 equation:


Simplifying
7(2n + -4) = (9n + 6) + 3

Reorder the terms:
7(-4 + 2n) = (9n + 6) + 3
(-4 * 7 + 2n * 7) = (9n + 6) + 3
(-28 + 14n) = (9n + 6) + 3

Reorder the terms:
-28 + 14n = (6 + 9n) + 3

Remove parenthesis around (6 + 9n)
-28 + 14n = 6 + 9n + 3

Reorder the terms:
-28 + 14n = 6 + 3 + 9n

Combine like terms: 6 + 3 = 9
-28 + 14n = 9 + 9n

Solving
-28 + 14n = 9 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-28 + 14n + -9n = 9 + 9n + -9n

Combine like terms: 14n + -9n = 5n
-28 + 5n = 9 + 9n + -9n

Combine like terms: 9n + -9n = 0
-28 + 5n = 9 + 0
-28 + 5n = 9

Add '28' to each side of the equation.
-28 + 28 + 5n = 9 + 28

Combine like terms: -28 + 28 = 0
0 + 5n = 9 + 28
5n = 9 + 28

Combine like terms: 9 + 28 = 37
5n = 37

Divide each side by '5'.
n = 7.4

Simplifying
n = 7.4

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