6(5n-9)=26+3n

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Solution for 6(5n-9)=26+3n equation:


Simplifying
6(5n + -9) = 26 + 3n

Reorder the terms:
6(-9 + 5n) = 26 + 3n
(-9 * 6 + 5n * 6) = 26 + 3n
(-54 + 30n) = 26 + 3n

Solving
-54 + 30n = 26 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-54 + 30n + -3n = 26 + 3n + -3n

Combine like terms: 30n + -3n = 27n
-54 + 27n = 26 + 3n + -3n

Combine like terms: 3n + -3n = 0
-54 + 27n = 26 + 0
-54 + 27n = 26

Add '54' to each side of the equation.
-54 + 54 + 27n = 26 + 54

Combine like terms: -54 + 54 = 0
0 + 27n = 26 + 54
27n = 26 + 54

Combine like terms: 26 + 54 = 80
27n = 80

Divide each side by '27'.
n = 2.962962963

Simplifying
n = 2.962962963

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