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

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

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

Reorder the terms:
4(1 + 2n) = 3(6 + 3) + 1
(1 * 4 + 2n * 4) = 3(6 + 3) + 1
(4 + 8n) = 3(6 + 3) + 1

Combine like terms: 6 + 3 = 9
4 + 8n = 3(9) + 1

Multiply 3 * 9
4 + 8n = 27 + 1

Combine like terms: 27 + 1 = 28
4 + 8n = 28

Solving
4 + 8n = 28

Solving for variable 'n'.

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

Add '-4' to each side of the equation.
4 + -4 + 8n = 28 + -4

Combine like terms: 4 + -4 = 0
0 + 8n = 28 + -4
8n = 28 + -4

Combine like terms: 28 + -4 = 24
8n = 24

Divide each side by '8'.
n = 3

Simplifying
n = 3