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 = 14
14 + 4n + 3n + -6n = 8

Combine like terms: 4n + 3n = 7n
14 + 7n + -6n = 8

Combine like terms: 7n + -6n = 1n
14 + 1n = 8

Solving
14 + 1n = 8

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + 1n = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 1n = 8 + -14
1n = 8 + -14

Combine like terms: 8 + -14 = -6
1n = -6

Divide each side by '1'.
n = -6

Simplifying
n = -6

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