.3(7n-33)=8-4n

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Solution for .3(7n-33)=8-4n equation: 


Simplifying
0.3(7n + -33) = 8 + -4n

Reorder the terms:
0.3(-33 + 7n) = 8 + -4n
(-33 * 0.3 + 7n * 0.3) = 8 + -4n
(-9.9 + 2.1n) = 8 + -4n

Solving
-9.9 + 2.1n = 8 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-9.9 + 2.1n + 4n = 8 + -4n + 4n

Combine like terms: 2.1n + 4n = 6.1n
-9.9 + 6.1n = 8 + -4n + 4n

Combine like terms: -4n + 4n = 0
-9.9 + 6.1n = 8 + 0
-9.9 + 6.1n = 8

Add '9.9' to each side of the equation.
-9.9 + 9.9 + 6.1n = 8 + 9.9

Combine like terms: -9.9 + 9.9 = 0.0
0.0 + 6.1n = 8 + 9.9
6.1n = 8 + 9.9

Combine like terms: 8 + 9.9 = 17.9
6.1n = 17.9

Divide each side by '6.1'.
n = 2.93442623

Simplifying
n = 2.93442623

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