-7(5n+1)=27-n

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Solution for -7(5n+1)=27-n equation:


Simplifying
-7(5n + 1) = 27 + -1n

Reorder the terms:
-7(1 + 5n) = 27 + -1n
(1 * -7 + 5n * -7) = 27 + -1n
(-7 + -35n) = 27 + -1n

Solving
-7 + -35n = 27 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-7 + -35n + n = 27 + -1n + n

Combine like terms: -35n + n = -34n
-7 + -34n = 27 + -1n + n

Combine like terms: -1n + n = 0
-7 + -34n = 27 + 0
-7 + -34n = 27

Add '7' to each side of the equation.
-7 + 7 + -34n = 27 + 7

Combine like terms: -7 + 7 = 0
0 + -34n = 27 + 7
-34n = 27 + 7

Combine like terms: 27 + 7 = 34
-34n = 34

Divide each side by '-34'.
n = -1

Simplifying
n = -1

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