91(2n-6)=2-3n

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Solution for 91(2n-6)=2-3n equation:


Simplifying
91(2n + -6) = 2 + -3n

Reorder the terms:
91(-6 + 2n) = 2 + -3n
(-6 * 91 + 2n * 91) = 2 + -3n
(-546 + 182n) = 2 + -3n

Solving
-546 + 182n = 2 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-546 + 182n + 3n = 2 + -3n + 3n

Combine like terms: 182n + 3n = 185n
-546 + 185n = 2 + -3n + 3n

Combine like terms: -3n + 3n = 0
-546 + 185n = 2 + 0
-546 + 185n = 2

Add '546' to each side of the equation.
-546 + 546 + 185n = 2 + 546

Combine like terms: -546 + 546 = 0
0 + 185n = 2 + 546
185n = 2 + 546

Combine like terms: 2 + 546 = 548
185n = 548

Divide each side by '185'.
n = 2.962162162

Simplifying
n = 2.962162162

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