11-5+2(3n+5)+5(3n+5)=-169

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Solution for 11-5+2(3n+5)+5(3n+5)=-169 equation: 


Simplifying
11 + -5 + 2(3n + 5) + 5(3n + 5) = -169

Reorder the terms:
11 + -5 + 2(5 + 3n) + 5(3n + 5) = -169
11 + -5 + (5 * 2 + 3n * 2) + 5(3n + 5) = -169
11 + -5 + (10 + 6n) + 5(3n + 5) = -169

Reorder the terms:
11 + -5 + 10 + 6n + 5(5 + 3n) = -169
11 + -5 + 10 + 6n + (5 * 5 + 3n * 5) = -169
11 + -5 + 10 + 6n + (25 + 15n) = -169

Reorder the terms:
11 + -5 + 10 + 25 + 6n + 15n = -169

Combine like terms: 11 + -5 = 6
6 + 10 + 25 + 6n + 15n = -169

Combine like terms: 6 + 10 = 16
16 + 25 + 6n + 15n = -169

Combine like terms: 16 + 25 = 41
41 + 6n + 15n = -169

Combine like terms: 6n + 15n = 21n
41 + 21n = -169

Solving
41 + 21n = -169

Solving for variable 'n'.

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

Add '-41' to each side of the equation.
41 + -41 + 21n = -169 + -41

Combine like terms: 41 + -41 = 0
0 + 21n = -169 + -41
21n = -169 + -41

Combine like terms: -169 + -41 = -210
21n = -210

Divide each side by '21'.
n = -10

Simplifying
n = -10

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