6.2+3.5n=3(0.5n+2.4)

Solution for 6.2+3.5n=3(0.5n+2.4) equation:

Simplifying
6.2 + 3.5n = 3(0.5n + 2.4)

Reorder the terms:
6.2 + 3.5n = 3(2.4 + 0.5n)
6.2 + 3.5n = (2.4 * 3 + 0.5n * 3)
6.2 + 3.5n = (7.2 + 1.5n)

Solving
6.2 + 3.5n = 7.2 + 1.5n

Solving for variable 'n'.

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

Add '-1.5n' to each side of the equation.
6.2 + 3.5n + -1.5n = 7.2 + 1.5n + -1.5n

Combine like terms: 3.5n + -1.5n = 2n
6.2 + 2n = 7.2 + 1.5n + -1.5n

Combine like terms: 1.5n + -1.5n = 0.0
6.2 + 2n = 7.2 + 0.0
6.2 + 2n = 7.2

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 2n = 7.2 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 2n = 7.2 + -6.2
2n = 7.2 + -6.2

Combine like terms: 7.2 + -6.2 = 1
2n = 1

Divide each side by '2'.
n = 0.5

Simplifying
n = 0.5