5(3n+10)+3(18-4n)=161

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Solution for 5(3n+10)+3(18-4n)=161 equation: 


Simplifying
5(3n + 10) + 3(18 + -4n) = 161

Reorder the terms:
5(10 + 3n) + 3(18 + -4n) = 161
(10 * 5 + 3n * 5) + 3(18 + -4n) = 161
(50 + 15n) + 3(18 + -4n) = 161
50 + 15n + (18 * 3 + -4n * 3) = 161
50 + 15n + (54 + -12n) = 161

Reorder the terms:
50 + 54 + 15n + -12n = 161

Combine like terms: 50 + 54 = 104
104 + 15n + -12n = 161

Combine like terms: 15n + -12n = 3n
104 + 3n = 161

Solving
104 + 3n = 161

Solving for variable 'n'.

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

Add '-104' to each side of the equation.
104 + -104 + 3n = 161 + -104

Combine like terms: 104 + -104 = 0
0 + 3n = 161 + -104
3n = 161 + -104

Combine like terms: 161 + -104 = 57
3n = 57

Divide each side by '3'.
n = 19

Simplifying
n = 19

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