2n+8=(3n+18)-1

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Solution for 2n+8=(3n+18)-1 equation:


Simplifying
2n + 8 = (3n + 18) + -1

Reorder the terms:
8 + 2n = (3n + 18) + -1

Reorder the terms:
8 + 2n = (18 + 3n) + -1

Remove parenthesis around (18 + 3n)
8 + 2n = 18 + 3n + -1

Reorder the terms:
8 + 2n = 18 + -1 + 3n

Combine like terms: 18 + -1 = 17
8 + 2n = 17 + 3n

Solving
8 + 2n = 17 + 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.
8 + 2n + -3n = 17 + 3n + -3n

Combine like terms: 2n + -3n = -1n
8 + -1n = 17 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -1n = 17 + 0
8 + -1n = 17

Add '-8' to each side of the equation.
8 + -8 + -1n = 17 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 17 + -8
-1n = 17 + -8

Combine like terms: 17 + -8 = 9
-1n = 9

Divide each side by '-1'.
n = -9

Simplifying
n = -9

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