4(2+1)=3(6n+3)+1

Solution for 4(2+1)=3(6n+3)+1 equation:

Simplifying
4(2 + 1) = 3(6n + 3) + 1

Combine like terms: 2 + 1 = 3
4(3) = 3(6n + 3) + 1

Multiply 4 * 3
12 = 3(6n + 3) + 1

Reorder the terms:
12 = 3(3 + 6n) + 1
12 = (3 * 3 + 6n * 3) + 1
12 = (9 + 18n) + 1

Reorder the terms:
12 = 9 + 1 + 18n

Combine like terms: 9 + 1 = 10
12 = 10 + 18n

Solving
12 = 10 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
12 + -18n = 10 + 18n + -18n

Combine like terms: 18n + -18n = 0
12 + -18n = 10 + 0
12 + -18n = 10

Add '-12' to each side of the equation.
12 + -12 + -18n = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -18n = 10 + -12
-18n = 10 + -12

Combine like terms: 10 + -12 = -2
-18n = -2

Divide each side by '-18'.
n = 0.1111111111

Simplifying
n = 0.1111111111