0.456=-3(7n-31.2)

Solution for 0.456=-3(7n-31.2) equation:

Simplifying
0.456 = -3(7n + -31.2)

Reorder the terms:
0.456 = -3(-31.2 + 7n)
0.456 = (-31.2 * -3 + 7n * -3)
0.456 = (93.6 + -21n)

Solving
0.456 = 93.6 + -21n

Solving for variable 'n'.

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

Add '21n' to each side of the equation.
0.456 + 21n = 93.6 + -21n + 21n

Combine like terms: -21n + 21n = 0
0.456 + 21n = 93.6 + 0
0.456 + 21n = 93.6

Add '-0.456' to each side of the equation.
0.456 + -0.456 + 21n = 93.6 + -0.456

Combine like terms: 0.456 + -0.456 = 0.000
0.000 + 21n = 93.6 + -0.456
21n = 93.6 + -0.456

Combine like terms: 93.6 + -0.456 = 93.144
21n = 93.144

Divide each side by '21'.
n = 4.435428571

Simplifying
n = 4.435428571