n+4.1n+6=-1.5(n+4.8)

Solution for n+4.1n+6=-1.5(n+4.8) equation:

Simplifying
n + 4.1n + 6 = -1.5(n + 4.8)

Reorder the terms:
6 + n + 4.1n = -1.5(n + 4.8)

Combine like terms: n + 4.1n = 5.1n
6 + 5.1n = -1.5(n + 4.8)

Reorder the terms:
6 + 5.1n = -1.5(4.8 + n)
6 + 5.1n = (4.8 * -1.5 + n * -1.5)
6 + 5.1n = (-7.2 + -1.5n)

Solving
6 + 5.1n = -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 + 5.1n + 1.5n = -7.2 + -1.5n + 1.5n

Combine like terms: 5.1n + 1.5n = 6.6n
6 + 6.6n = -7.2 + -1.5n + 1.5n

Combine like terms: -1.5n + 1.5n = 0.0
6 + 6.6n = -7.2 + 0.0
6 + 6.6n = -7.2

Add '-6' to each side of the equation.
6 + -6 + 6.6n = -7.2 + -6

Combine like terms: 6 + -6 = 0
0 + 6.6n = -7.2 + -6
6.6n = -7.2 + -6

Combine like terms: -7.2 + -6 = -13.2
6.6n = -13.2

Divide each side by '6.6'.
n = -2

Simplifying
n = -2