7(6+2n)=4(4n+4)

Solution for 7(6+2n)=4(4n+4) equation:

Simplifying
7(6 + 2n) = 4(4n + 4)
(6 * 7 + 2n * 7) = 4(4n + 4)
(42 + 14n) = 4(4n + 4)

Reorder the terms:
42 + 14n = 4(4 + 4n)
42 + 14n = (4 * 4 + 4n * 4)
42 + 14n = (16 + 16n)

Solving
42 + 14n = 16 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
42 + 14n + -16n = 16 + 16n + -16n

Combine like terms: 14n + -16n = -2n
42 + -2n = 16 + 16n + -16n

Combine like terms: 16n + -16n = 0
42 + -2n = 16 + 0
42 + -2n = 16

Add '-42' to each side of the equation.
42 + -42 + -2n = 16 + -42

Combine like terms: 42 + -42 = 0
0 + -2n = 16 + -42
-2n = 16 + -42

Combine like terms: 16 + -42 = -26
-2n = -26

Divide each side by '-2'.
n = 13

Simplifying
n = 13