3n+4(n+11)=79

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Solution for 3n+4(n+11)=79 equation:


Simplifying
3n + 4(n + 11) = 79

Reorder the terms:
3n + 4(11 + n) = 79
3n + (11 * 4 + n * 4) = 79
3n + (44 + 4n) = 79

Reorder the terms:
44 + 3n + 4n = 79

Combine like terms: 3n + 4n = 7n
44 + 7n = 79

Solving
44 + 7n = 79

Solving for variable 'n'.

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

Add '-44' to each side of the equation.
44 + -44 + 7n = 79 + -44

Combine like terms: 44 + -44 = 0
0 + 7n = 79 + -44
7n = 79 + -44

Combine like terms: 79 + -44 = 35
7n = 35

Divide each side by '7'.
n = 5

Simplifying
n = 5

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