367.23=7.47(4.8+6.5n)+12

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Solution for 367.23=7.47(4.8+6.5n)+12 equation: 


Simplifying
367.23 = 7.47(4.8 + 6.5n) + 12
367.23 = (4.8 * 7.47 + 6.5n * 7.47) + 12
367.23 = (35.856 + 48.555n) + 12

Reorder the terms:
367.23 = 35.856 + 12 + 48.555n

Combine like terms: 35.856 + 12 = 47.856
367.23 = 47.856 + 48.555n

Solving
367.23 = 47.856 + 48.555n

Solving for variable 'n'.

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

Add '-48.555n' to each side of the equation.
367.23 + -48.555n = 47.856 + 48.555n + -48.555n

Combine like terms: 48.555n + -48.555n = 0.000
367.23 + -48.555n = 47.856 + 0.000
367.23 + -48.555n = 47.856

Add '-367.23' to each side of the equation.
367.23 + -367.23 + -48.555n = 47.856 + -367.23

Combine like terms: 367.23 + -367.23 = 0.00
0.00 + -48.555n = 47.856 + -367.23
-48.555n = 47.856 + -367.23

Combine like terms: 47.856 + -367.23 = -319.374
-48.555n = -319.374

Divide each side by '-48.555'.
n = 6.577571826

Simplifying
n = 6.577571826

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