6(-1-3n)+2(4-8n)=70

Solution for 6(-1-3n)+2(4-8n)=70 equation:

Simplifying
6(-1 + -3n) + 2(4 + -8n) = 70
(-1 * 6 + -3n * 6) + 2(4 + -8n) = 70
(-6 + -18n) + 2(4 + -8n) = 70
-6 + -18n + (4 * 2 + -8n * 2) = 70
-6 + -18n + (8 + -16n) = 70

Reorder the terms:
-6 + 8 + -18n + -16n = 70

Combine like terms: -6 + 8 = 2
2 + -18n + -16n = 70

Combine like terms: -18n + -16n = -34n
2 + -34n = 70

Solving
2 + -34n = 70

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + -34n = 70 + -2

Combine like terms: 2 + -2 = 0
0 + -34n = 70 + -2
-34n = 70 + -2

Combine like terms: 70 + -2 = 68
-34n = 68

Divide each side by '-34'.
n = -2

Simplifying
n = -2