9(3n-4)=(7n+4)+8

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Solution for 9(3n-4)=(7n+4)+8 equation:


Simplifying
9(3n + -4) = (7n + 4) + 8

Reorder the terms:
9(-4 + 3n) = (7n + 4) + 8
(-4 * 9 + 3n * 9) = (7n + 4) + 8
(-36 + 27n) = (7n + 4) + 8

Reorder the terms:
-36 + 27n = (4 + 7n) + 8

Remove parenthesis around (4 + 7n)
-36 + 27n = 4 + 7n + 8

Reorder the terms:
-36 + 27n = 4 + 8 + 7n

Combine like terms: 4 + 8 = 12
-36 + 27n = 12 + 7n

Solving
-36 + 27n = 12 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-36 + 27n + -7n = 12 + 7n + -7n

Combine like terms: 27n + -7n = 20n
-36 + 20n = 12 + 7n + -7n

Combine like terms: 7n + -7n = 0
-36 + 20n = 12 + 0
-36 + 20n = 12

Add '36' to each side of the equation.
-36 + 36 + 20n = 12 + 36

Combine like terms: -36 + 36 = 0
0 + 20n = 12 + 36
20n = 12 + 36

Combine like terms: 12 + 36 = 48
20n = 48

Divide each side by '20'.
n = 2.4

Simplifying
n = 2.4

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