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

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

Simplifying
6(2n + 1) = 6(6n + -3)

Reorder the terms:
6(1 + 2n) = 6(6n + -3)
(1 * 6 + 2n * 6) = 6(6n + -3)
(6 + 12n) = 6(6n + -3)

Reorder the terms:
6 + 12n = 6(-3 + 6n)
6 + 12n = (-3 * 6 + 6n * 6)
6 + 12n = (-18 + 36n)

Solving
6 + 12n = -18 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
6 + 12n + -36n = -18 + 36n + -36n

Combine like terms: 12n + -36n = -24n
6 + -24n = -18 + 36n + -36n

Combine like terms: 36n + -36n = 0
6 + -24n = -18 + 0
6 + -24n = -18

Add '-6' to each side of the equation.
6 + -6 + -24n = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -24n = -18 + -6
-24n = -18 + -6

Combine like terms: -18 + -6 = -24
-24n = -24

Divide each side by '-24'.
n = 1

Simplifying
n = 1