92=3n+2-2(n+5)

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Solution for 92=3n+2-2(n+5) equation:


Simplifying
92 = 3n + 2 + -2(n + 5)

Reorder the terms:
92 = 3n + 2 + -2(5 + n)
92 = 3n + 2 + (5 * -2 + n * -2)
92 = 3n + 2 + (-10 + -2n)

Reorder the terms:
92 = 2 + -10 + 3n + -2n

Combine like terms: 2 + -10 = -8
92 = -8 + 3n + -2n

Combine like terms: 3n + -2n = 1n
92 = -8 + 1n

Solving
92 = -8 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
92 + -1n = -8 + 1n + -1n

Combine like terms: 1n + -1n = 0
92 + -1n = -8 + 0
92 + -1n = -8

Add '-92' to each side of the equation.
92 + -92 + -1n = -8 + -92

Combine like terms: 92 + -92 = 0
0 + -1n = -8 + -92
-1n = -8 + -92

Combine like terms: -8 + -92 = -100
-1n = -100

Divide each side by '-1'.
n = 100

Simplifying
n = 100

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