2n+8(n+20)=110+n

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Solution for 2n+8(n+20)=110+n equation:


Simplifying
2n + 8(n + 20) = 110 + n

Reorder the terms:
2n + 8(20 + n) = 110 + n
2n + (20 * 8 + n * 8) = 110 + n
2n + (160 + 8n) = 110 + n

Reorder the terms:
160 + 2n + 8n = 110 + n

Combine like terms: 2n + 8n = 10n
160 + 10n = 110 + n

Solving
160 + 10n = 110 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
160 + 10n + -1n = 110 + n + -1n

Combine like terms: 10n + -1n = 9n
160 + 9n = 110 + n + -1n

Combine like terms: n + -1n = 0
160 + 9n = 110 + 0
160 + 9n = 110

Add '-160' to each side of the equation.
160 + -160 + 9n = 110 + -160

Combine like terms: 160 + -160 = 0
0 + 9n = 110 + -160
9n = 110 + -160

Combine like terms: 110 + -160 = -50
9n = -50

Divide each side by '9'.
n = -5.555555556

Simplifying
n = -5.555555556

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