4n+5n-15+3n+25+6n-10+90=180

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Solution for 4n+5n-15+3n+25+6n-10+90=180 equation:


Simplifying
4n + 5n + -15 + 3n + 25 + 6n + -10 + 90 = 180

Reorder the terms:
-15 + 25 + -10 + 90 + 4n + 5n + 3n + 6n = 180

Combine like terms: -15 + 25 = 10
10 + -10 + 90 + 4n + 5n + 3n + 6n = 180

Combine like terms: 10 + -10 = 0
0 + 90 + 4n + 5n + 3n + 6n = 180
90 + 4n + 5n + 3n + 6n = 180

Combine like terms: 4n + 5n = 9n
90 + 9n + 3n + 6n = 180

Combine like terms: 9n + 3n = 12n
90 + 12n + 6n = 180

Combine like terms: 12n + 6n = 18n
90 + 18n = 180

Solving
90 + 18n = 180

Solving for variable 'n'.

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

Add '-90' to each side of the equation.
90 + -90 + 18n = 180 + -90

Combine like terms: 90 + -90 = 0
0 + 18n = 180 + -90
18n = 180 + -90

Combine like terms: 180 + -90 = 90
18n = 90

Divide each side by '18'.
n = 5

Simplifying
n = 5

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