0.456=-0.3(7n-312)

Solution for 0.456=-0.3(7n-312) equation:

Simplifying
0.456 = -0.3(7n + -312)

Reorder the terms:
0.456 = -0.3(-312 + 7n)
0.456 = (-312 * -0.3 + 7n * -0.3)
0.456 = (93.6 + -2.1n)

Solving
0.456 = 93.6 + -2.1n

Solving for variable 'n'.

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

Add '2.1n' to each side of the equation.
0.456 + 2.1n = 93.6 + -2.1n + 2.1n

Combine like terms: -2.1n + 2.1n = 0.0
0.456 + 2.1n = 93.6 + 0.0
0.456 + 2.1n = 93.6

Add '-0.456' to each side of the equation.
0.456 + -0.456 + 2.1n = 93.6 + -0.456

Combine like terms: 0.456 + -0.456 = 0.000
0.000 + 2.1n = 93.6 + -0.456
2.1n = 93.6 + -0.456

Combine like terms: 93.6 + -0.456 = 93.144
2.1n = 93.144

Divide each side by '2.1'.
n = 44.35428571

Simplifying
n = 44.35428571