4(n+4)=5n-10

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


Simplifying
4(n + 4) = 5n + -10

Reorder the terms:
4(4 + n) = 5n + -10
(4 * 4 + n * 4) = 5n + -10
(16 + 4n) = 5n + -10

Reorder the terms:
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 = -26
-1n = -26

Divide each side by '-1'.
n = 26

Simplifying
n = 26

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