9+12n-5=5n+74-3n

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Solution for 9+12n-5=5n+74-3n equation:


Simplifying
9 + 12n + -5 = 5n + 74 + -3n

Reorder the terms:
9 + -5 + 12n = 5n + 74 + -3n

Combine like terms: 9 + -5 = 4
4 + 12n = 5n + 74 + -3n

Reorder the terms:
4 + 12n = 74 + 5n + -3n

Combine like terms: 5n + -3n = 2n
4 + 12n = 74 + 2n

Solving
4 + 12n = 74 + 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 + 12n + -2n = 74 + 2n + -2n

Combine like terms: 12n + -2n = 10n
4 + 10n = 74 + 2n + -2n

Combine like terms: 2n + -2n = 0
4 + 10n = 74 + 0
4 + 10n = 74

Add '-4' to each side of the equation.
4 + -4 + 10n = 74 + -4

Combine like terms: 4 + -4 = 0
0 + 10n = 74 + -4
10n = 74 + -4

Combine like terms: 74 + -4 = 70
10n = 70

Divide each side by '10'.
n = 7

Simplifying
n = 7

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