10n+4(4n-1)=4(n-4)+10n

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Solution for 10n+4(4n-1)=4(n-4)+10n equation: 


Simplifying
10n + 4(4n + -1) = 4(n + -4) + 10n

Reorder the terms:
10n + 4(-1 + 4n) = 4(n + -4) + 10n
10n + (-1 * 4 + 4n * 4) = 4(n + -4) + 10n
10n + (-4 + 16n) = 4(n + -4) + 10n

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

Combine like terms: 10n + 16n = 26n
-4 + 26n = 4(n + -4) + 10n

Reorder the terms:
-4 + 26n = 4(-4 + n) + 10n
-4 + 26n = (-4 * 4 + n * 4) + 10n
-4 + 26n = (-16 + 4n) + 10n

Combine like terms: 4n + 10n = 14n
-4 + 26n = -16 + 14n

Solving
-4 + 26n = -16 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-4 + 26n + -14n = -16 + 14n + -14n

Combine like terms: 26n + -14n = 12n
-4 + 12n = -16 + 14n + -14n

Combine like terms: 14n + -14n = 0
-4 + 12n = -16 + 0
-4 + 12n = -16

Add '4' to each side of the equation.
-4 + 4 + 12n = -16 + 4

Combine like terms: -4 + 4 = 0
0 + 12n = -16 + 4
12n = -16 + 4

Combine like terms: -16 + 4 = -12
12n = -12

Divide each side by '12'.
n = -1

Simplifying
n = -1

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