1+3+5+7+9+(2n-1)=26

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Solution for 1+3+5+7+9+(2n-1)=26 equation: 


Simplifying
1 + 3 + 5 + 7 + 9 + (2n + -1) = 26

Reorder the terms:
1 + 3 + 5 + 7 + 9 + (-1 + 2n) = 26

Remove parenthesis around (-1 + 2n)
1 + 3 + 5 + 7 + 9 + -1 + 2n = 26

Combine like terms: 1 + 3 = 4
4 + 5 + 7 + 9 + -1 + 2n = 26

Combine like terms: 4 + 5 = 9
9 + 7 + 9 + -1 + 2n = 26

Combine like terms: 9 + 7 = 16
16 + 9 + -1 + 2n = 26

Combine like terms: 16 + 9 = 25
25 + -1 + 2n = 26

Combine like terms: 25 + -1 = 24
24 + 2n = 26

Solving
24 + 2n = 26

Solving for variable 'n'.

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

Add '-24' to each side of the equation.
24 + -24 + 2n = 26 + -24

Combine like terms: 24 + -24 = 0
0 + 2n = 26 + -24
2n = 26 + -24

Combine like terms: 26 + -24 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1

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