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

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


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

Reorder the terms:
5n + -6(-3 + n) = 26 + -5n
5n + (-3 * -6 + n * -6) = 26 + -5n
5n + (18 + -6n) = 26 + -5n

Reorder the terms:
18 + 5n + -6n = 26 + -5n

Combine like terms: 5n + -6n = -1n
18 + -1n = 26 + -5n

Solving
18 + -1n = 26 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
18 + -1n + 5n = 26 + -5n + 5n

Combine like terms: -1n + 5n = 4n
18 + 4n = 26 + -5n + 5n

Combine like terms: -5n + 5n = 0
18 + 4n = 26 + 0
18 + 4n = 26

Add '-18' to each side of the equation.
18 + -18 + 4n = 26 + -18

Combine like terms: 18 + -18 = 0
0 + 4n = 26 + -18
4n = 26 + -18

Combine like terms: 26 + -18 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2

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