8n+1=13+2n+8n

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Solution for 8n+1=13+2n+8n equation:


Simplifying
8n + 1 = 13 + 2n + 8n

Reorder the terms:
1 + 8n = 13 + 2n + 8n

Combine like terms: 2n + 8n = 10n
1 + 8n = 13 + 10n

Solving
1 + 8n = 13 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
1 + 8n + -10n = 13 + 10n + -10n

Combine like terms: 8n + -10n = -2n
1 + -2n = 13 + 10n + -10n

Combine like terms: 10n + -10n = 0
1 + -2n = 13 + 0
1 + -2n = 13

Add '-1' to each side of the equation.
1 + -1 + -2n = 13 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 13 + -1
-2n = 13 + -1

Combine like terms: 13 + -1 = 12
-2n = 12

Divide each side by '-2'.
n = -6

Simplifying
n = -6

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