11(3+n)=2(6+7n)

Solution for 11(3+n)=2(6+7n) equation:

Simplifying
11(3 + n) = 2(6 + 7n)
(3 * 11 + n * 11) = 2(6 + 7n)
(33 + 11n) = 2(6 + 7n)
33 + 11n = (6 * 2 + 7n * 2)
33 + 11n = (12 + 14n)

Solving
33 + 11n = 12 + 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.
33 + 11n + -14n = 12 + 14n + -14n

Combine like terms: 11n + -14n = -3n
33 + -3n = 12 + 14n + -14n

Combine like terms: 14n + -14n = 0
33 + -3n = 12 + 0
33 + -3n = 12

Add '-33' to each side of the equation.
33 + -33 + -3n = 12 + -33

Combine like terms: 33 + -33 = 0
0 + -3n = 12 + -33
-3n = 12 + -33

Combine like terms: 12 + -33 = -21
-3n = -21

Divide each side by '-3'.
n = 7

Simplifying
n = 7