5n+2n-10=74

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Solution for 5n+2n-10=74 equation:


Simplifying
5n + 2n + -10 = 74

Reorder the terms:
-10 + 5n + 2n = 74

Combine like terms: 5n + 2n = 7n
-10 + 7n = 74

Solving
-10 + 7n = 74

Solving for variable 'n'.

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

Add '10' to each side of the equation.
-10 + 10 + 7n = 74 + 10

Combine like terms: -10 + 10 = 0
0 + 7n = 74 + 10
7n = 74 + 10

Combine like terms: 74 + 10 = 84
7n = 84

Divide each side by '7'.
n = 12

Simplifying
n = 12

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