7n-10=6+n(5-2)

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Solution for 7n-10=6+n(5-2) equation:


Simplifying
7n + -10 = 6 + n(5 + -2)

Reorder the terms:
-10 + 7n = 6 + n(5 + -2)

Combine like terms: 5 + -2 = 3
-10 + 7n = 6 + n(3)

Reorder the terms for easier multiplication:
-10 + 7n = 6 + 3n

Solving
-10 + 7n = 6 + 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.
-10 + 7n + -3n = 6 + 3n + -3n

Combine like terms: 7n + -3n = 4n
-10 + 4n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-10 + 4n = 6 + 0
-10 + 4n = 6

Add '10' to each side of the equation.
-10 + 10 + 4n = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 4n = 6 + 10
4n = 6 + 10

Combine like terms: 6 + 10 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4

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