5n+4=7(n+1)-3n

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Solution for 5n+4=7(n+1)-3n equation: 


Simplifying
5n + 4 = 7(n + 1) + -3n

Reorder the terms:
4 + 5n = 7(n + 1) + -3n

Reorder the terms:
4 + 5n = 7(1 + n) + -3n
4 + 5n = (1 * 7 + n * 7) + -3n
4 + 5n = (7 + 7n) + -3n

Combine like terms: 7n + -3n = 4n
4 + 5n = 7 + 4n

Solving
4 + 5n = 7 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
4 + 5n + -4n = 7 + 4n + -4n

Combine like terms: 5n + -4n = 1n
4 + 1n = 7 + 4n + -4n

Combine like terms: 4n + -4n = 0
4 + 1n = 7 + 0
4 + 1n = 7

Add '-4' to each side of the equation.
4 + -4 + 1n = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 1n = 7 + -4
1n = 7 + -4

Combine like terms: 7 + -4 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3

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