8(n-7)-2(4n+5)=5n-3+5n+7

Solution for 8(n-7)-2(4n+5)=5n-3+5n+7 equation:

Simplifying
8(n + -7) + -2(4n + 5) = 5n + -3 + 5n + 7

Reorder the terms:
8(-7 + n) + -2(4n + 5) = 5n + -3 + 5n + 7
(-7 * 8 + n * 8) + -2(4n + 5) = 5n + -3 + 5n + 7
(-56 + 8n) + -2(4n + 5) = 5n + -3 + 5n + 7

Reorder the terms:
-56 + 8n + -2(5 + 4n) = 5n + -3 + 5n + 7
-56 + 8n + (5 * -2 + 4n * -2) = 5n + -3 + 5n + 7
-56 + 8n + (-10 + -8n) = 5n + -3 + 5n + 7

Reorder the terms:
-56 + -10 + 8n + -8n = 5n + -3 + 5n + 7

Combine like terms: -56 + -10 = -66
-66 + 8n + -8n = 5n + -3 + 5n + 7

Combine like terms: 8n + -8n = 0
-66 + 0 = 5n + -3 + 5n + 7
-66 = 5n + -3 + 5n + 7

Reorder the terms:
-66 = -3 + 7 + 5n + 5n

Combine like terms: -3 + 7 = 4
-66 = 4 + 5n + 5n

Combine like terms: 5n + 5n = 10n
-66 = 4 + 10n

Solving
-66 = 4 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-66 + -10n = 4 + 10n + -10n

Combine like terms: 10n + -10n = 0
-66 + -10n = 4 + 0
-66 + -10n = 4

Add '66' to each side of the equation.
-66 + 66 + -10n = 4 + 66

Combine like terms: -66 + 66 = 0
0 + -10n = 4 + 66
-10n = 4 + 66

Combine like terms: 4 + 66 = 70
-10n = 70

Divide each side by '-10'.
n = -7

Simplifying
n = -7