0.456=-0.3(7n-31.2)

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Solution for 0.456=-0.3(7n-31.2) equation: 


Simplifying
0.456 = -0.3(7n + -31.2)

Reorder the terms:
0.456 = -0.3(-31.2 + 7n)
0.456 = (-31.2 * -0.3 + 7n * -0.3)
0.456 = (9.36 + -2.1n)

Solving
0.456 = 9.36 + -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 = 9.36 + -2.1n + 2.1n

Combine like terms: -2.1n + 2.1n = 0.0
0.456 + 2.1n = 9.36 + 0.0
0.456 + 2.1n = 9.36

Add '-0.456' to each side of the equation.
0.456 + -0.456 + 2.1n = 9.36 + -0.456

Combine like terms: 0.456 + -0.456 = 0.000
0.000 + 2.1n = 9.36 + -0.456
2.1n = 9.36 + -0.456

Combine like terms: 9.36 + -0.456 = 8.904
2.1n = 8.904

Divide each side by '2.1'.
n = 4.24

Simplifying
n = 4.24

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