7(3n-1)=(9n+9)+3

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Solution for 7(3n-1)=(9n+9)+3 equation:


Simplifying
7(3n + -1) = (9n + 9) + 3

Reorder the terms:
7(-1 + 3n) = (9n + 9) + 3
(-1 * 7 + 3n * 7) = (9n + 9) + 3
(-7 + 21n) = (9n + 9) + 3

Reorder the terms:
-7 + 21n = (9 + 9n) + 3

Remove parenthesis around (9 + 9n)
-7 + 21n = 9 + 9n + 3

Reorder the terms:
-7 + 21n = 9 + 3 + 9n

Combine like terms: 9 + 3 = 12
-7 + 21n = 12 + 9n

Solving
-7 + 21n = 12 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-7 + 21n + -9n = 12 + 9n + -9n

Combine like terms: 21n + -9n = 12n
-7 + 12n = 12 + 9n + -9n

Combine like terms: 9n + -9n = 0
-7 + 12n = 12 + 0
-7 + 12n = 12

Add '7' to each side of the equation.
-7 + 7 + 12n = 12 + 7

Combine like terms: -7 + 7 = 0
0 + 12n = 12 + 7
12n = 12 + 7

Combine like terms: 12 + 7 = 19
12n = 19

Divide each side by '12'.
n = 1.583333333

Simplifying
n = 1.583333333

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