8(7+8n)+6(n-1)=-20

Solution for 8(7+8n)+6(n-1)=-20 equation:

Simplifying
8(7 + 8n) + 6(n + -1) = -20
(7 * 8 + 8n * 8) + 6(n + -1) = -20
(56 + 64n) + 6(n + -1) = -20

Reorder the terms:
56 + 64n + 6(-1 + n) = -20
56 + 64n + (-1 * 6 + n * 6) = -20
56 + 64n + (-6 + 6n) = -20

Reorder the terms:
56 + -6 + 64n + 6n = -20

Combine like terms: 56 + -6 = 50
50 + 64n + 6n = -20

Combine like terms: 64n + 6n = 70n
50 + 70n = -20

Solving
50 + 70n = -20

Solving for variable 'n'.

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

Add '-50' to each side of the equation.
50 + -50 + 70n = -20 + -50

Combine like terms: 50 + -50 = 0
0 + 70n = -20 + -50
70n = -20 + -50

Combine like terms: -20 + -50 = -70
70n = -70

Divide each side by '70'.
n = -1

Simplifying
n = -1