2n+2=4(n+4)-24

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Solution for 2n+2=4(n+4)-24 equation: 


Simplifying
2n + 2 = 4(n + 4) + -24

Reorder the terms:
2 + 2n = 4(n + 4) + -24

Reorder the terms:
2 + 2n = 4(4 + n) + -24
2 + 2n = (4 * 4 + n * 4) + -24
2 + 2n = (16 + 4n) + -24

Reorder the terms:
2 + 2n = 16 + -24 + 4n

Combine like terms: 16 + -24 = -8
2 + 2n = -8 + 4n

Solving
2 + 2n = -8 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
2 + 2n + -4n = -8 + 4n + -4n

Combine like terms: 2n + -4n = -2n
2 + -2n = -8 + 4n + -4n

Combine like terms: 4n + -4n = 0
2 + -2n = -8 + 0
2 + -2n = -8

Add '-2' to each side of the equation.
2 + -2 + -2n = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -2n = -8 + -2
-2n = -8 + -2

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

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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