n+6.7n-4.8=4.6(n+3)

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Solution for n+6.7n-4.8=4.6(n+3) equation: 


Simplifying
n + 6.7n + -4.8 = 4.6(n + 3)

Reorder the terms:
-4.8 + n + 6.7n = 4.6(n + 3)

Combine like terms: n + 6.7n = 7.7n
-4.8 + 7.7n = 4.6(n + 3)

Reorder the terms:
-4.8 + 7.7n = 4.6(3 + n)
-4.8 + 7.7n = (3 * 4.6 + n * 4.6)
-4.8 + 7.7n = (13.8 + 4.6n)

Solving
-4.8 + 7.7n = 13.8 + 4.6n

Solving for variable 'n'.

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

Add '-4.6n' to each side of the equation.
-4.8 + 7.7n + -4.6n = 13.8 + 4.6n + -4.6n

Combine like terms: 7.7n + -4.6n = 3.1n
-4.8 + 3.1n = 13.8 + 4.6n + -4.6n

Combine like terms: 4.6n + -4.6n = 0.0
-4.8 + 3.1n = 13.8 + 0.0
-4.8 + 3.1n = 13.8

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 3.1n = 13.8 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 3.1n = 13.8 + 4.8
3.1n = 13.8 + 4.8

Combine like terms: 13.8 + 4.8 = 18.6
3.1n = 18.6

Divide each side by '3.1'.
n = 6

Simplifying
n = 6

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