3(7n+58)=(n+58)

Solution for 3(7n+58)=(n+58) equation:

Simplifying
3(7n + 58) = (n + 58)

Reorder the terms:
3(58 + 7n) = (n + 58)
(58 * 3 + 7n * 3) = (n + 58)
(174 + 21n) = (n + 58)

Reorder the terms:
174 + 21n = (58 + n)

Remove parenthesis around (58 + n)
174 + 21n = 58 + n

Solving
174 + 21n = 58 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
174 + 21n + -1n = 58 + n + -1n

Combine like terms: 21n + -1n = 20n
174 + 20n = 58 + n + -1n

Combine like terms: n + -1n = 0
174 + 20n = 58 + 0
174 + 20n = 58

Add '-174' to each side of the equation.
174 + -174 + 20n = 58 + -174

Combine like terms: 174 + -174 = 0
0 + 20n = 58 + -174
20n = 58 + -174

Combine like terms: 58 + -174 = -116
20n = -116

Divide each side by '20'.
n = -5.8

Simplifying
n = -5.8