5n+8=4(n+4)-5

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


Simplifying
5n + 8 = 4(n + 4) + -5

Reorder the terms:
8 + 5n = 4(n + 4) + -5

Reorder the terms:
8 + 5n = 4(4 + n) + -5
8 + 5n = (4 * 4 + n * 4) + -5
8 + 5n = (16 + 4n) + -5

Reorder the terms:
8 + 5n = 16 + -5 + 4n

Combine like terms: 16 + -5 = 11
8 + 5n = 11 + 4n

Solving
8 + 5n = 11 + 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.
8 + 5n + -4n = 11 + 4n + -4n

Combine like terms: 5n + -4n = 1n
8 + 1n = 11 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + 1n = 11 + 0
8 + 1n = 11

Add '-8' to each side of the equation.
8 + -8 + 1n = 11 + -8

Combine like terms: 8 + -8 = 0
0 + 1n = 11 + -8
1n = 11 + -8

Combine like terms: 11 + -8 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3

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