9+10n-2=9n+43-5n

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Solution for 9+10n-2=9n+43-5n equation:


Simplifying
9 + 10n + -2 = 9n + 43 + -5n

Reorder the terms:
9 + -2 + 10n = 9n + 43 + -5n

Combine like terms: 9 + -2 = 7
7 + 10n = 9n + 43 + -5n

Reorder the terms:
7 + 10n = 43 + 9n + -5n

Combine like terms: 9n + -5n = 4n
7 + 10n = 43 + 4n

Solving
7 + 10n = 43 + 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.
7 + 10n + -4n = 43 + 4n + -4n

Combine like terms: 10n + -4n = 6n
7 + 6n = 43 + 4n + -4n

Combine like terms: 4n + -4n = 0
7 + 6n = 43 + 0
7 + 6n = 43

Add '-7' to each side of the equation.
7 + -7 + 6n = 43 + -7

Combine like terms: 7 + -7 = 0
0 + 6n = 43 + -7
6n = 43 + -7

Combine like terms: 43 + -7 = 36
6n = 36

Divide each side by '6'.
n = 6

Simplifying
n = 6

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