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

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

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

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

Reorder the terms:
4 + 8n = 3(3 + 6m) + 1
4 + 8n = (3 * 3 + 6m * 3) + 1
4 + 8n = (9 + 18m) + 1

Reorder the terms:
4 + 8n = 9 + 1 + 18m

Combine like terms: 9 + 1 = 10
4 + 8n = 10 + 18m

Solving
4 + 8n = 10 + 18m

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 = 10 + -4 + 18m

Combine like terms: 4 + -4 = 0
0 + 8n = 10 + -4 + 18m
8n = 10 + -4 + 18m

Combine like terms: 10 + -4 = 6
8n = 6 + 18m

Divide each side by '8'.
n = 0.75 + 2.25m

Simplifying
n = 0.75 + 2.25m