7(3n-3)=(7n+7)+4

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Solution for 7(3n-3)=(7n+7)+4 equation:


Simplifying
7(3n + -3) = (7n + 7) + 4

Reorder the terms:
7(-3 + 3n) = (7n + 7) + 4
(-3 * 7 + 3n * 7) = (7n + 7) + 4
(-21 + 21n) = (7n + 7) + 4

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

Remove parenthesis around (7 + 7n)
-21 + 21n = 7 + 7n + 4

Reorder the terms:
-21 + 21n = 7 + 4 + 7n

Combine like terms: 7 + 4 = 11
-21 + 21n = 11 + 7n

Solving
-21 + 21n = 11 + 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.
-21 + 21n + -7n = 11 + 7n + -7n

Combine like terms: 21n + -7n = 14n
-21 + 14n = 11 + 7n + -7n

Combine like terms: 7n + -7n = 0
-21 + 14n = 11 + 0
-21 + 14n = 11

Add '21' to each side of the equation.
-21 + 21 + 14n = 11 + 21

Combine like terms: -21 + 21 = 0
0 + 14n = 11 + 21
14n = 11 + 21

Combine like terms: 11 + 21 = 32
14n = 32

Divide each side by '14'.
n = 2.285714286

Simplifying
n = 2.285714286

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