4n+5(-4+4n)=76

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Solution for 4n+5(-4+4n)=76 equation:


Simplifying
4n + 5(-4 + 4n) = 76
4n + (-4 * 5 + 4n * 5) = 76
4n + (-20 + 20n) = 76

Reorder the terms:
-20 + 4n + 20n = 76

Combine like terms: 4n + 20n = 24n
-20 + 24n = 76

Solving
-20 + 24n = 76

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + 24n = 76 + 20

Combine like terms: -20 + 20 = 0
0 + 24n = 76 + 20
24n = 76 + 20

Combine like terms: 76 + 20 = 96
24n = 96

Divide each side by '24'.
n = 4

Simplifying
n = 4

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