-5[9(n-3)+10]=-162.5

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Solution for -5[9(n-3)+10]=-162.5 equation: 


Simplifying
-5[9(n + -3) + 10] = -162.5

Reorder the terms:
-5[9(-3 + n) + 10] = -162.5
-5[(-3 * 9 + n * 9) + 10] = -162.5
-5[(-27 + 9n) + 10] = -162.5

Reorder the terms:
-5[-27 + 10 + 9n] = -162.5

Combine like terms: -27 + 10 = -17
-5[-17 + 9n] = -162.5
[-17 * -5 + 9n * -5] = -162.5
[85 + -45n] = -162.5

Solving
85 + -45n = -162.5

Solving for variable 'n'.

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

Add '-85' to each side of the equation.
85 + -85 + -45n = -162.5 + -85

Combine like terms: 85 + -85 = 0
0 + -45n = -162.5 + -85
-45n = -162.5 + -85

Combine like terms: -162.5 + -85 = -247.5
-45n = -247.5

Divide each side by '-45'.
n = 5.5

Simplifying
n = 5.5

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