4(N+6)=4N+8(N+13)

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Solution for 4(N+6)=4N+8(N+13) equation: 


Simplifying
4(N + 6) = 4N + 8(N + 13)

Reorder the terms:
4(6 + N) = 4N + 8(N + 13)
(6 * 4 + N * 4) = 4N + 8(N + 13)
(24 + 4N) = 4N + 8(N + 13)

Reorder the terms:
24 + 4N = 4N + 8(13 + N)
24 + 4N = 4N + (13 * 8 + N * 8)
24 + 4N = 4N + (104 + 8N)

Reorder the terms:
24 + 4N = 104 + 4N + 8N

Combine like terms: 4N + 8N = 12N
24 + 4N = 104 + 12N

Solving
24 + 4N = 104 + 12N

Solving for variable 'N'.

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

Add '-12N' to each side of the equation.
24 + 4N + -12N = 104 + 12N + -12N

Combine like terms: 4N + -12N = -8N
24 + -8N = 104 + 12N + -12N

Combine like terms: 12N + -12N = 0
24 + -8N = 104 + 0
24 + -8N = 104

Add '-24' to each side of the equation.
24 + -24 + -8N = 104 + -24

Combine like terms: 24 + -24 = 0
0 + -8N = 104 + -24
-8N = 104 + -24

Combine like terms: 104 + -24 = 80
-8N = 80

Divide each side by '-8'.
N = -10

Simplifying
N = -10

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