12(3n+.7)=4(3n+2.1)-6.5n

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Solution for 12(3n+.7)=4(3n+2.1)-6.5n equation: 


Simplifying
12(3n + 0.7) = 4(3n + 2.1) + -6.5n

Reorder the terms:
12(0.7 + 3n) = 4(3n + 2.1) + -6.5n
(0.7 * 12 + 3n * 12) = 4(3n + 2.1) + -6.5n
(8.4 + 36n) = 4(3n + 2.1) + -6.5n

Reorder the terms:
8.4 + 36n = 4(2.1 + 3n) + -6.5n
8.4 + 36n = (2.1 * 4 + 3n * 4) + -6.5n
8.4 + 36n = (8.4 + 12n) + -6.5n

Combine like terms: 12n + -6.5n = 5.5n
8.4 + 36n = 8.4 + 5.5n

Add '-8.4' to each side of the equation.
8.4 + -8.4 + 36n = 8.4 + -8.4 + 5.5n

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + 36n = 8.4 + -8.4 + 5.5n
36n = 8.4 + -8.4 + 5.5n

Combine like terms: 8.4 + -8.4 = 0.0
36n = 0.0 + 5.5n
36n = 5.5n

Solving
36n = 5.5n

Solving for variable 'n'.

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

Add '-5.5n' to each side of the equation.
36n + -5.5n = 5.5n + -5.5n

Combine like terms: 36n + -5.5n = 30.5n
30.5n = 5.5n + -5.5n

Combine like terms: 5.5n + -5.5n = 0.0
30.5n = 0.0

Divide each side by '30.5'.
n = 0

Simplifying
n = 0

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