4[(n*2)+7]-70=n

Solution for 4[(n*2)+7]-70=n equation:

Simplifying
4[(n * 2) + 7] + -70 = n

Reorder the terms for easier multiplication:
4[(2n) + 7] + -70 = n

Reorder the terms:
4[7 + (2n)] + -70 = n
[7 * 4 + (2n) * 4] + -70 = n
[28 + 8n] + -70 = n

Reorder the terms:
28 + -70 + 8n = n

Combine like terms: 28 + -70 = -42
-42 + 8n = n

Solving
-42 + 8n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-42 + 8n + -1n = n + -1n

Combine like terms: 8n + -1n = 7n
-42 + 7n = n + -1n

Combine like terms: n + -1n = 0
-42 + 7n = 0

Add '42' to each side of the equation.
-42 + 42 + 7n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 7n = 0 + 42
7n = 0 + 42

Combine like terms: 0 + 42 = 42
7n = 42

Divide each side by '7'.
n = 6

Simplifying
n = 6