7n-26=5(2-n)

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Solution for 7n-26=5(2-n) equation:


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

Reorder the terms:
-26 + 7n = 5(2 + -1n)
-26 + 7n = (2 * 5 + -1n * 5)
-26 + 7n = (10 + -5n)

Solving
-26 + 7n = 10 + -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.
-26 + 7n + 5n = 10 + -5n + 5n

Combine like terms: 7n + 5n = 12n
-26 + 12n = 10 + -5n + 5n

Combine like terms: -5n + 5n = 0
-26 + 12n = 10 + 0
-26 + 12n = 10

Add '26' to each side of the equation.
-26 + 26 + 12n = 10 + 26

Combine like terms: -26 + 26 = 0
0 + 12n = 10 + 26
12n = 10 + 26

Combine like terms: 10 + 26 = 36
12n = 36

Divide each side by '12'.
n = 3

Simplifying
n = 3

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