5n+4=7(m+1)-2n

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Solution for 5n+4=7(m+1)-2n equation: 


Simplifying
5n + 4 = 7(m + 1) + -2n

Reorder the terms:
4 + 5n = 7(m + 1) + -2n

Reorder the terms:
4 + 5n = 7(1 + m) + -2n
4 + 5n = (1 * 7 + m * 7) + -2n
4 + 5n = (7 + 7m) + -2n

Solving
4 + 5n = 7 + 7m + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
4 + 5n + 2n = 7 + 7m + -2n + 2n

Combine like terms: 5n + 2n = 7n
4 + 7n = 7 + 7m + -2n + 2n

Combine like terms: -2n + 2n = 0
4 + 7n = 7 + 7m + 0
4 + 7n = 7 + 7m

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

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

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

Divide each side by '7'.
n = 0.4285714286 + m

Simplifying
n = 0.4285714286 + m

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