7(n-7)=21-7n

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Solution for 7(n-7)=21-7n equation:


Simplifying
7(n + -7) = 21 + -7n

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

Solving
-49 + 7n = 21 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
-49 + 7n + 7n = 21 + -7n + 7n

Combine like terms: 7n + 7n = 14n
-49 + 14n = 21 + -7n + 7n

Combine like terms: -7n + 7n = 0
-49 + 14n = 21 + 0
-49 + 14n = 21

Add '49' to each side of the equation.
-49 + 49 + 14n = 21 + 49

Combine like terms: -49 + 49 = 0
0 + 14n = 21 + 49
14n = 21 + 49

Combine like terms: 21 + 49 = 70
14n = 70

Divide each side by '14'.
n = 5

Simplifying
n = 5

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