30.5=-2+3.5(n+9.5)

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Solution for 30.5=-2+3.5(n+9.5) equation: 


Simplifying
30.5 = -2 + 3.5(n + 9.5)

Reorder the terms:
30.5 = -2 + 3.5(9.5 + n)
30.5 = -2 + (9.5 * 3.5 + n * 3.5)
30.5 = -2 + (33.25 + 3.5n)

Combine like terms: -2 + 33.25 = 31.25
30.5 = 31.25 + 3.5n

Solving
30.5 = 31.25 + 3.5n

Solving for variable 'n'.

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

Add '-3.5n' to each side of the equation.
30.5 + -3.5n = 31.25 + 3.5n + -3.5n

Combine like terms: 3.5n + -3.5n = 0.0
30.5 + -3.5n = 31.25 + 0.0
30.5 + -3.5n = 31.25

Add '-30.5' to each side of the equation.
30.5 + -30.5 + -3.5n = 31.25 + -30.5

Combine like terms: 30.5 + -30.5 = 0.0
0.0 + -3.5n = 31.25 + -30.5
-3.5n = 31.25 + -30.5

Combine like terms: 31.25 + -30.5 = 0.75
-3.5n = 0.75

Divide each side by '-3.5'.
n = -0.2142857143

Simplifying
n = -0.2142857143

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