8(2n+2)=10n+22

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Solution for 8(2n+2)=10n+22 equation: 


Simplifying
8(2n + 2) = 10n + 22

Reorder the terms:
8(2 + 2n) = 10n + 22
(2 * 8 + 2n * 8) = 10n + 22
(16 + 16n) = 10n + 22

Reorder the terms:
16 + 16n = 22 + 10n

Solving
16 + 16n = 22 + 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.
16 + 16n + -10n = 22 + 10n + -10n

Combine like terms: 16n + -10n = 6n
16 + 6n = 22 + 10n + -10n

Combine like terms: 10n + -10n = 0
16 + 6n = 22 + 0
16 + 6n = 22

Add '-16' to each side of the equation.
16 + -16 + 6n = 22 + -16

Combine like terms: 16 + -16 = 0
0 + 6n = 22 + -16
6n = 22 + -16

Combine like terms: 22 + -16 = 6
6n = 6

Divide each side by '6'.
n = 1

Simplifying
n = 1

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