6(1+n)=8n-3(n-7)

Solution for 6(1+n)=8n-3(n-7) equation:

Simplifying
6(1 + n) = 8n + -3(n + -7)
(1 * 6 + n * 6) = 8n + -3(n + -7)
(6 + 6n) = 8n + -3(n + -7)

Reorder the terms:
6 + 6n = 8n + -3(-7 + n)
6 + 6n = 8n + (-7 * -3 + n * -3)
6 + 6n = 8n + (21 + -3n)

Reorder the terms:
6 + 6n = 21 + 8n + -3n

Combine like terms: 8n + -3n = 5n
6 + 6n = 21 + 5n

Solving
6 + 6n = 21 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 6n + -5n = 21 + 5n + -5n

Combine like terms: 6n + -5n = 1n
6 + 1n = 21 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + 1n = 21 + 0
6 + 1n = 21

Add '-6' to each side of the equation.
6 + -6 + 1n = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 21 + -6
1n = 21 + -6

Combine like terms: 21 + -6 = 15
1n = 15

Divide each side by '1'.
n = 15

Simplifying
n = 15