4(3n-1.2)-0.5=9.5n+6.2

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Solution for 4(3n-1.2)-0.5=9.5n+6.2 equation: 


Simplifying
4(3n + -1.2) + -0.5 = 9.5n + 6.2

Reorder the terms:
4(-1.2 + 3n) + -0.5 = 9.5n + 6.2
(-1.2 * 4 + 3n * 4) + -0.5 = 9.5n + 6.2
(-4.8 + 12n) + -0.5 = 9.5n + 6.2

Reorder the terms:
-4.8 + -0.5 + 12n = 9.5n + 6.2

Combine like terms: -4.8 + -0.5 = -5.3
-5.3 + 12n = 9.5n + 6.2

Reorder the terms:
-5.3 + 12n = 6.2 + 9.5n

Solving
-5.3 + 12n = 6.2 + 9.5n

Solving for variable 'n'.

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

Add '-9.5n' to each side of the equation.
-5.3 + 12n + -9.5n = 6.2 + 9.5n + -9.5n

Combine like terms: 12n + -9.5n = 2.5n
-5.3 + 2.5n = 6.2 + 9.5n + -9.5n

Combine like terms: 9.5n + -9.5n = 0.0
-5.3 + 2.5n = 6.2 + 0.0
-5.3 + 2.5n = 6.2

Add '5.3' to each side of the equation.
-5.3 + 5.3 + 2.5n = 6.2 + 5.3

Combine like terms: -5.3 + 5.3 = 0.0
0.0 + 2.5n = 6.2 + 5.3
2.5n = 6.2 + 5.3

Combine like terms: 6.2 + 5.3 = 11.5
2.5n = 11.5

Divide each side by '2.5'.
n = 4.6

Simplifying
n = 4.6

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