7(3n-2)=(6n+9)+7

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Solution for 7(3n-2)=(6n+9)+7 equation:


Simplifying
7(3n + -2) = (6n + 9) + 7

Reorder the terms:
7(-2 + 3n) = (6n + 9) + 7
(-2 * 7 + 3n * 7) = (6n + 9) + 7
(-14 + 21n) = (6n + 9) + 7

Reorder the terms:
-14 + 21n = (9 + 6n) + 7

Remove parenthesis around (9 + 6n)
-14 + 21n = 9 + 6n + 7

Reorder the terms:
-14 + 21n = 9 + 7 + 6n

Combine like terms: 9 + 7 = 16
-14 + 21n = 16 + 6n

Solving
-14 + 21n = 16 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-14 + 21n + -6n = 16 + 6n + -6n

Combine like terms: 21n + -6n = 15n
-14 + 15n = 16 + 6n + -6n

Combine like terms: 6n + -6n = 0
-14 + 15n = 16 + 0
-14 + 15n = 16

Add '14' to each side of the equation.
-14 + 14 + 15n = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 15n = 16 + 14
15n = 16 + 14

Combine like terms: 16 + 14 = 30
15n = 30

Divide each side by '15'.
n = 2

Simplifying
n = 2

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