2-7(-6+3n)=86

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Solution for 2-7(-6+3n)=86 equation:


Simplifying
2 + -7(-6 + 3n) = 86
2 + (-6 * -7 + 3n * -7) = 86
2 + (42 + -21n) = 86

Combine like terms: 2 + 42 = 44
44 + -21n = 86

Solving
44 + -21n = 86

Solving for variable 'n'.

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

Add '-44' to each side of the equation.
44 + -44 + -21n = 86 + -44

Combine like terms: 44 + -44 = 0
0 + -21n = 86 + -44
-21n = 86 + -44

Combine like terms: 86 + -44 = 42
-21n = 42

Divide each side by '-21'.
n = -2

Simplifying
n = -2

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