12(3n+0.7)=4(3n+2.1)+24

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Solution for 12(3n+0.7)=4(3n+2.1)+24 equation: 


Simplifying
12(3n + 0.7) = 4(3n + 2.1) + 24

Reorder the terms:
12(0.7 + 3n) = 4(3n + 2.1) + 24
(0.7 * 12 + 3n * 12) = 4(3n + 2.1) + 24
(8.4 + 36n) = 4(3n + 2.1) + 24

Reorder the terms:
8.4 + 36n = 4(2.1 + 3n) + 24
8.4 + 36n = (2.1 * 4 + 3n * 4) + 24
8.4 + 36n = (8.4 + 12n) + 24

Reorder the terms:
8.4 + 36n = 8.4 + 24 + 12n

Combine like terms: 8.4 + 24 = 32.4
8.4 + 36n = 32.4 + 12n

Solving
8.4 + 36n = 32.4 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
8.4 + 36n + -12n = 32.4 + 12n + -12n

Combine like terms: 36n + -12n = 24n
8.4 + 24n = 32.4 + 12n + -12n

Combine like terms: 12n + -12n = 0
8.4 + 24n = 32.4 + 0
8.4 + 24n = 32.4

Add '-8.4' to each side of the equation.
8.4 + -8.4 + 24n = 32.4 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + 24n = 32.4 + -8.4
24n = 32.4 + -8.4

Combine like terms: 32.4 + -8.4 = 24
24n = 24

Divide each side by '24'.
n = 1

Simplifying
n = 1

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