10+n+2(n+10)+n-10=130

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Solution for 10+n+2(n+10)+n-10=130 equation:


Simplifying
10 + n + 2(n + 10) + n + -10 = 130

Reorder the terms:
10 + n + 2(10 + n) + n + -10 = 130
10 + n + (10 * 2 + n * 2) + n + -10 = 130
10 + n + (20 + 2n) + n + -10 = 130

Reorder the terms:
10 + 20 + -10 + n + 2n + n = 130

Combine like terms: 10 + 20 = 30
30 + -10 + n + 2n + n = 130

Combine like terms: 30 + -10 = 20
20 + n + 2n + n = 130

Combine like terms: n + 2n = 3n
20 + 3n + n = 130

Combine like terms: 3n + n = 4n
20 + 4n = 130

Solving
20 + 4n = 130

Solving for variable 'n'.

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

Add '-20' to each side of the equation.
20 + -20 + 4n = 130 + -20

Combine like terms: 20 + -20 = 0
0 + 4n = 130 + -20
4n = 130 + -20

Combine like terms: 130 + -20 = 110
4n = 110

Divide each side by '4'.
n = 27.5

Simplifying
n = 27.5

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