9n+3(2-n)=4(n+2)-5n

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Solution for 9n+3(2-n)=4(n+2)-5n equation:


Simplifying
9n + 3(2 + -1n) = 4(n + 2) + -5n
9n + (2 * 3 + -1n * 3) = 4(n + 2) + -5n
9n + (6 + -3n) = 4(n + 2) + -5n

Reorder the terms:
6 + 9n + -3n = 4(n + 2) + -5n

Combine like terms: 9n + -3n = 6n
6 + 6n = 4(n + 2) + -5n

Reorder the terms:
6 + 6n = 4(2 + n) + -5n
6 + 6n = (2 * 4 + n * 4) + -5n
6 + 6n = (8 + 4n) + -5n

Combine like terms: 4n + -5n = -1n
6 + 6n = 8 + -1n

Solving
6 + 6n = 8 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + 6n + n = 8 + -1n + n

Combine like terms: 6n + n = 7n
6 + 7n = 8 + -1n + n

Combine like terms: -1n + n = 0
6 + 7n = 8 + 0
6 + 7n = 8

Add '-6' to each side of the equation.
6 + -6 + 7n = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 8 + -6
7n = 8 + -6

Combine like terms: 8 + -6 = 2
7n = 2

Divide each side by '7'.
n = 0.2857142857

Simplifying
n = 0.2857142857

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