208-3n=(n+1)+(n+2)+(n+3)

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Solution for 208-3n=(n+1)+(n+2)+(n+3) equation:


Simplifying
208 + -3n = (n + 1) + (n + 2) + (n + 3)

Reorder the terms:
208 + -3n = (1 + n) + (n + 2) + (n + 3)

Remove parenthesis around (1 + n)
208 + -3n = 1 + n + (n + 2) + (n + 3)

Reorder the terms:
208 + -3n = 1 + n + (2 + n) + (n + 3)

Remove parenthesis around (2 + n)
208 + -3n = 1 + n + 2 + n + (n + 3)

Reorder the terms:
208 + -3n = 1 + n + 2 + n + (3 + n)

Remove parenthesis around (3 + n)
208 + -3n = 1 + n + 2 + n + 3 + n

Reorder the terms:
208 + -3n = 1 + 2 + 3 + n + n + n

Combine like terms: 1 + 2 = 3
208 + -3n = 3 + 3 + n + n + n

Combine like terms: 3 + 3 = 6
208 + -3n = 6 + n + n + n

Combine like terms: n + n = 2n
208 + -3n = 6 + 2n + n

Combine like terms: 2n + n = 3n
208 + -3n = 6 + 3n

Solving
208 + -3n = 6 + 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.
208 + -3n + -3n = 6 + 3n + -3n

Combine like terms: -3n + -3n = -6n
208 + -6n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
208 + -6n = 6 + 0
208 + -6n = 6

Add '-208' to each side of the equation.
208 + -208 + -6n = 6 + -208

Combine like terms: 208 + -208 = 0
0 + -6n = 6 + -208
-6n = 6 + -208

Combine like terms: 6 + -208 = -202
-6n = -202

Divide each side by '-6'.
n = 33.66666667

Simplifying
n = 33.66666667

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