0.456=-9.3(7n-31.2)

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Solution for 0.456=-9.3(7n-31.2) equation: 


Simplifying
0.456 = -9.3(7n + -31.2)

Reorder the terms:
0.456 = -9.3(-31.2 + 7n)
0.456 = (-31.2 * -9.3 + 7n * -9.3)
0.456 = (290.16 + -65.1n)

Solving
0.456 = 290.16 + -65.1n

Solving for variable 'n'.

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

Add '65.1n' to each side of the equation.
0.456 + 65.1n = 290.16 + -65.1n + 65.1n

Combine like terms: -65.1n + 65.1n = 0.0
0.456 + 65.1n = 290.16 + 0.0
0.456 + 65.1n = 290.16

Add '-0.456' to each side of the equation.
0.456 + -0.456 + 65.1n = 290.16 + -0.456

Combine like terms: 0.456 + -0.456 = 0.000
0.000 + 65.1n = 290.16 + -0.456
65.1n = 290.16 + -0.456

Combine like terms: 290.16 + -0.456 = 289.704
65.1n = 289.704

Divide each side by '65.1'.
n = 4.450138249

Simplifying
n = 4.450138249

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