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 = -9.816
-2.1n = -9.816

Divide each side by '-2.1'.
n = 4.674285714

Simplifying
n = 4.674285714

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