10+45n=75n-2

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Solution for 10+45n=75n-2 equation:


Simplifying
10 + 45n = 75n + -2

Reorder the terms:
10 + 45n = -2 + 75n

Solving
10 + 45n = -2 + 75n

Solving for variable 'n'.

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

Add '-75n' to each side of the equation.
10 + 45n + -75n = -2 + 75n + -75n

Combine like terms: 45n + -75n = -30n
10 + -30n = -2 + 75n + -75n

Combine like terms: 75n + -75n = 0
10 + -30n = -2 + 0
10 + -30n = -2

Add '-10' to each side of the equation.
10 + -10 + -30n = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -30n = -2 + -10
-30n = -2 + -10

Combine like terms: -2 + -10 = -12
-30n = -12

Divide each side by '-30'.
n = 0.4

Simplifying
n = 0.4

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