2n+8(n+2)=86

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Solution for 2n+8(n+2)=86 equation:


Simplifying
2n + 8(n + 2) = 86

Reorder the terms:
2n + 8(2 + n) = 86
2n + (2 * 8 + n * 8) = 86
2n + (16 + 8n) = 86

Reorder the terms:
16 + 2n + 8n = 86

Combine like terms: 2n + 8n = 10n
16 + 10n = 86

Solving
16 + 10n = 86

Solving for variable 'n'.

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

Add '-16' to each side of the equation.
16 + -16 + 10n = 86 + -16

Combine like terms: 16 + -16 = 0
0 + 10n = 86 + -16
10n = 86 + -16

Combine like terms: 86 + -16 = 70
10n = 70

Divide each side by '10'.
n = 7

Simplifying
n = 7

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