-95.66=3.5+7.4(-1.4n-3.6)

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Solution for -95.66=3.5+7.4(-1.4n-3.6) equation: 


Simplifying
-95.66 = 3.5 + 7.4(-1.4n + -3.6)

Reorder the terms:
-95.66 = 3.5 + 7.4(-3.6 + -1.4n)
-95.66 = 3.5 + (-3.6 * 7.4 + -1.4n * 7.4)
-95.66 = 3.5 + (-26.64 + -10.36n)

Combine like terms: 3.5 + -26.64 = -23.14
-95.66 = -23.14 + -10.36n

Solving
-95.66 = -23.14 + -10.36n

Solving for variable 'n'.

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

Add '10.36n' to each side of the equation.
-95.66 + 10.36n = -23.14 + -10.36n + 10.36n

Combine like terms: -10.36n + 10.36n = 0.00
-95.66 + 10.36n = -23.14 + 0.00
-95.66 + 10.36n = -23.14

Add '95.66' to each side of the equation.
-95.66 + 95.66 + 10.36n = -23.14 + 95.66

Combine like terms: -95.66 + 95.66 = 0.00
0.00 + 10.36n = -23.14 + 95.66
10.36n = -23.14 + 95.66

Combine like terms: -23.14 + 95.66 = 72.52
10.36n = 72.52

Divide each side by '10.36'.
n = 7

Simplifying
n = 7

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