4(2+n)+8=10+5n

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Solution for 4(2+n)+8=10+5n equation: 


Simplifying
4(2 + n) + 8 = 10 + 5n
(2 * 4 + n * 4) + 8 = 10 + 5n
(8 + 4n) + 8 = 10 + 5n

Reorder the terms:
8 + 8 + 4n = 10 + 5n

Combine like terms: 8 + 8 = 16
16 + 4n = 10 + 5n

Solving
16 + 4n = 10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
16 + 4n + -5n = 10 + 5n + -5n

Combine like terms: 4n + -5n = -1n
16 + -1n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
16 + -1n = 10 + 0
16 + -1n = 10

Add '-16' to each side of the equation.
16 + -16 + -1n = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 10 + -16
-1n = 10 + -16

Combine like terms: 10 + -16 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6

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