n+4(5n+4)=58

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Solution for n+4(5n+4)=58 equation:


Simplifying
n + 4(5n + 4) = 58

Reorder the terms:
n + 4(4 + 5n) = 58
n + (4 * 4 + 5n * 4) = 58
n + (16 + 20n) = 58

Reorder the terms:
16 + n + 20n = 58

Combine like terms: n + 20n = 21n
16 + 21n = 58

Solving
16 + 21n = 58

Solving for variable 'n'.

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

Add '-16' to each side of the equation.
16 + -16 + 21n = 58 + -16

Combine like terms: 16 + -16 = 0
0 + 21n = 58 + -16
21n = 58 + -16

Combine like terms: 58 + -16 = 42
21n = 42

Divide each side by '21'.
n = 2

Simplifying
n = 2

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