3+16n-1=8n+52-2n

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Solution for 3+16n-1=8n+52-2n equation:


Simplifying
3 + 16n + -1 = 8n + 52 + -2n

Reorder the terms:
3 + -1 + 16n = 8n + 52 + -2n

Combine like terms: 3 + -1 = 2
2 + 16n = 8n + 52 + -2n

Reorder the terms:
2 + 16n = 52 + 8n + -2n

Combine like terms: 8n + -2n = 6n
2 + 16n = 52 + 6n

Solving
2 + 16n = 52 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
2 + 16n + -6n = 52 + 6n + -6n

Combine like terms: 16n + -6n = 10n
2 + 10n = 52 + 6n + -6n

Combine like terms: 6n + -6n = 0
2 + 10n = 52 + 0
2 + 10n = 52

Add '-2' to each side of the equation.
2 + -2 + 10n = 52 + -2

Combine like terms: 2 + -2 = 0
0 + 10n = 52 + -2
10n = 52 + -2

Combine like terms: 52 + -2 = 50
10n = 50

Divide each side by '10'.
n = 5

Simplifying
n = 5

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