18.5+3n=5.5(9.5n-7)

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Solution for 18.5+3n=5.5(9.5n-7) equation: 


Simplifying
18.5 + 3n = 5.5(9.5n + -7)

Reorder the terms:
18.5 + 3n = 5.5(-7 + 9.5n)
18.5 + 3n = (-7 * 5.5 + 9.5n * 5.5)
18.5 + 3n = (-38.5 + 52.25n)

Solving
18.5 + 3n = -38.5 + 52.25n

Solving for variable 'n'.

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

Add '-52.25n' to each side of the equation.
18.5 + 3n + -52.25n = -38.5 + 52.25n + -52.25n

Combine like terms: 3n + -52.25n = -49.25n
18.5 + -49.25n = -38.5 + 52.25n + -52.25n

Combine like terms: 52.25n + -52.25n = 0.00
18.5 + -49.25n = -38.5 + 0.00
18.5 + -49.25n = -38.5

Add '-18.5' to each side of the equation.
18.5 + -18.5 + -49.25n = -38.5 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -49.25n = -38.5 + -18.5
-49.25n = -38.5 + -18.5

Combine like terms: -38.5 + -18.5 = -57
-49.25n = -57

Divide each side by '-49.25'.
n = 1.157360406

Simplifying
n = 1.157360406

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