n+(n+7)=27n-2

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Solution for n+(n+7)=27n-2 equation:


Simplifying
n + (n + 7) = 27n + -2

Reorder the terms:
n + (7 + n) = 27n + -2

Remove parenthesis around (7 + n)
n + 7 + n = 27n + -2

Reorder the terms:
7 + n + n = 27n + -2

Combine like terms: n + n = 2n
7 + 2n = 27n + -2

Reorder the terms:
7 + 2n = -2 + 27n

Solving
7 + 2n = -2 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
7 + 2n + -27n = -2 + 27n + -27n

Combine like terms: 2n + -27n = -25n
7 + -25n = -2 + 27n + -27n

Combine like terms: 27n + -27n = 0
7 + -25n = -2 + 0
7 + -25n = -2

Add '-7' to each side of the equation.
7 + -7 + -25n = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -25n = -2 + -7
-25n = -2 + -7

Combine like terms: -2 + -7 = -9
-25n = -9

Divide each side by '-25'.
n = 0.36

Simplifying
n = 0.36

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