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

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


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

Reorder the terms:
4n + 3(8 + n) + 2(5 + 3n) = 8
4n + (8 * 3 + n * 3) + 2(5 + 3n) = 8
4n + (24 + 3n) + 2(5 + 3n) = 8
4n + 24 + 3n + (5 * 2 + 3n * 2) = 8
4n + 24 + 3n + (10 + 6n) = 8

Reorder the terms:
24 + 10 + 4n + 3n + 6n = 8

Combine like terms: 24 + 10 = 34
34 + 4n + 3n + 6n = 8

Combine like terms: 4n + 3n = 7n
34 + 7n + 6n = 8

Combine like terms: 7n + 6n = 13n
34 + 13n = 8

Solving
34 + 13n = 8

Solving for variable 'n'.

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

Add '-34' to each side of the equation.
34 + -34 + 13n = 8 + -34

Combine like terms: 34 + -34 = 0
0 + 13n = 8 + -34
13n = 8 + -34

Combine like terms: 8 + -34 = -26
13n = -26

Divide each side by '13'.
n = -2

Simplifying
n = -2

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