7(3n-4)=(7n+9)+6

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Solution for 7(3n-4)=(7n+9)+6 equation:


Simplifying
7(3n + -4) = (7n + 9) + 6

Reorder the terms:
7(-4 + 3n) = (7n + 9) + 6
(-4 * 7 + 3n * 7) = (7n + 9) + 6
(-28 + 21n) = (7n + 9) + 6

Reorder the terms:
-28 + 21n = (9 + 7n) + 6

Remove parenthesis around (9 + 7n)
-28 + 21n = 9 + 7n + 6

Reorder the terms:
-28 + 21n = 9 + 6 + 7n

Combine like terms: 9 + 6 = 15
-28 + 21n = 15 + 7n

Solving
-28 + 21n = 15 + 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.
-28 + 21n + -7n = 15 + 7n + -7n

Combine like terms: 21n + -7n = 14n
-28 + 14n = 15 + 7n + -7n

Combine like terms: 7n + -7n = 0
-28 + 14n = 15 + 0
-28 + 14n = 15

Add '28' to each side of the equation.
-28 + 28 + 14n = 15 + 28

Combine like terms: -28 + 28 = 0
0 + 14n = 15 + 28
14n = 15 + 28

Combine like terms: 15 + 28 = 43
14n = 43

Divide each side by '14'.
n = 3.071428571

Simplifying
n = 3.071428571

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