6(1+2n)=7(3n+6)

Solution for 6(1+2n)=7(3n+6) equation:

Simplifying
6(1 + 2n) = 7(3n + 6)
(1 * 6 + 2n * 6) = 7(3n + 6)
(6 + 12n) = 7(3n + 6)

Reorder the terms:
6 + 12n = 7(6 + 3n)
6 + 12n = (6 * 7 + 3n * 7)
6 + 12n = (42 + 21n)

Solving
6 + 12n = 42 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
6 + 12n + -21n = 42 + 21n + -21n

Combine like terms: 12n + -21n = -9n
6 + -9n = 42 + 21n + -21n

Combine like terms: 21n + -21n = 0
6 + -9n = 42 + 0
6 + -9n = 42

Add '-6' to each side of the equation.
6 + -6 + -9n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -9n = 42 + -6
-9n = 42 + -6

Combine like terms: 42 + -6 = 36
-9n = 36

Divide each side by '-9'.
n = -4

Simplifying
n = -4