7(-3n-7)=3+5n

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Solution for 7(-3n-7)=3+5n equation:


Simplifying
7(-3n + -7) = 3 + 5n

Reorder the terms:
7(-7 + -3n) = 3 + 5n
(-7 * 7 + -3n * 7) = 3 + 5n
(-49 + -21n) = 3 + 5n

Solving
-49 + -21n = 3 + 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 + -21n + -5n = 3 + 5n + -5n

Combine like terms: -21n + -5n = -26n
-49 + -26n = 3 + 5n + -5n

Combine like terms: 5n + -5n = 0
-49 + -26n = 3 + 0
-49 + -26n = 3

Add '49' to each side of the equation.
-49 + 49 + -26n = 3 + 49

Combine like terms: -49 + 49 = 0
0 + -26n = 3 + 49
-26n = 3 + 49

Combine like terms: 3 + 49 = 52
-26n = 52

Divide each side by '-26'.
n = -2

Simplifying
n = -2

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