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

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

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

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

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

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

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

Solving
4 + 8n = 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.
4 + 8n + -18n = 10 + 18n + -18n

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

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

Add '-4' to each side of the equation.
4 + -4 + -10n = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -10n = 10 + -4
-10n = 10 + -4

Combine like terms: 10 + -4 = 6
-10n = 6

Divide each side by '-10'.
n = -0.6

Simplifying
n = -0.6