63=6(2n+1)-3

Solution for 63=6(2n+1)-3 equation:

Simplifying
63 = 6(2n + 1) + -3

Reorder the terms:
63 = 6(1 + 2n) + -3
63 = (1 * 6 + 2n * 6) + -3
63 = (6 + 12n) + -3

Reorder the terms:
63 = 6 + -3 + 12n

Combine like terms: 6 + -3 = 3
63 = 3 + 12n

Solving
63 = 3 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
63 + -12n = 3 + 12n + -12n

Combine like terms: 12n + -12n = 0
63 + -12n = 3 + 0
63 + -12n = 3

Add '-63' to each side of the equation.
63 + -63 + -12n = 3 + -63

Combine like terms: 63 + -63 = 0
0 + -12n = 3 + -63
-12n = 3 + -63

Combine like terms: 3 + -63 = -60
-12n = -60

Divide each side by '-12'.
n = 5

Simplifying
n = 5