-7(n-7)=5n+37

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Solution for -7(n-7)=5n+37 equation: 


Simplifying
-7(n + -7) = 5n + 37

Reorder the terms:
-7(-7 + n) = 5n + 37
(-7 * -7 + n * -7) = 5n + 37
(49 + -7n) = 5n + 37

Reorder the terms:
49 + -7n = 37 + 5n

Solving
49 + -7n = 37 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
49 + -7n + -5n = 37 + 5n + -5n

Combine like terms: -7n + -5n = -12n
49 + -12n = 37 + 5n + -5n

Combine like terms: 5n + -5n = 0
49 + -12n = 37 + 0
49 + -12n = 37

Add '-49' to each side of the equation.
49 + -49 + -12n = 37 + -49

Combine like terms: 49 + -49 = 0
0 + -12n = 37 + -49
-12n = 37 + -49

Combine like terms: 37 + -49 = -12
-12n = -12

Divide each side by '-12'.
n = 1

Simplifying
n = 1

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