7n-21=7(2n+4)+7n

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Solution for 7n-21=7(2n+4)+7n equation:


Simplifying
7n + -21 = 7(2n + 4) + 7n

Reorder the terms:
-21 + 7n = 7(2n + 4) + 7n

Reorder the terms:
-21 + 7n = 7(4 + 2n) + 7n
-21 + 7n = (4 * 7 + 2n * 7) + 7n
-21 + 7n = (28 + 14n) + 7n

Combine like terms: 14n + 7n = 21n
-21 + 7n = 28 + 21n

Solving
-21 + 7n = 28 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
-21 + 7n + -21n = 28 + 21n + -21n

Combine like terms: 7n + -21n = -14n
-21 + -14n = 28 + 21n + -21n

Combine like terms: 21n + -21n = 0
-21 + -14n = 28 + 0
-21 + -14n = 28

Add '21' to each side of the equation.
-21 + 21 + -14n = 28 + 21

Combine like terms: -21 + 21 = 0
0 + -14n = 28 + 21
-14n = 28 + 21

Combine like terms: 28 + 21 = 49
-14n = 49

Divide each side by '-14'.
n = -3.5

Simplifying
n = -3.5

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