10=5n+2-7

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


Simplifying
10 = 5n + 2 + -7

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

Combine like terms: 2 + -7 = -5
10 = -5 + 5n

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

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

Add '-10' to each side of the equation.
10 + -10 + -5n = -5 + -10

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

Combine like terms: -5 + -10 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3

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