6(2n-5)=(7n+3)+9

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Solution for 6(2n-5)=(7n+3)+9 equation:


Simplifying
6(2n + -5) = (7n + 3) + 9

Reorder the terms:
6(-5 + 2n) = (7n + 3) + 9
(-5 * 6 + 2n * 6) = (7n + 3) + 9
(-30 + 12n) = (7n + 3) + 9

Reorder the terms:
-30 + 12n = (3 + 7n) + 9

Remove parenthesis around (3 + 7n)
-30 + 12n = 3 + 7n + 9

Reorder the terms:
-30 + 12n = 3 + 9 + 7n

Combine like terms: 3 + 9 = 12
-30 + 12n = 12 + 7n

Solving
-30 + 12n = 12 + 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.
-30 + 12n + -7n = 12 + 7n + -7n

Combine like terms: 12n + -7n = 5n
-30 + 5n = 12 + 7n + -7n

Combine like terms: 7n + -7n = 0
-30 + 5n = 12 + 0
-30 + 5n = 12

Add '30' to each side of the equation.
-30 + 30 + 5n = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 5n = 12 + 30
5n = 12 + 30

Combine like terms: 12 + 30 = 42
5n = 42

Divide each side by '5'.
n = 8.4

Simplifying
n = 8.4

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