6(2n-3)=(7n+7)+8

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Solution for 6(2n-3)=(7n+7)+8 equation:


Simplifying
6(2n + -3) = (7n + 7) + 8

Reorder the terms:
6(-3 + 2n) = (7n + 7) + 8
(-3 * 6 + 2n * 6) = (7n + 7) + 8
(-18 + 12n) = (7n + 7) + 8

Reorder the terms:
-18 + 12n = (7 + 7n) + 8

Remove parenthesis around (7 + 7n)
-18 + 12n = 7 + 7n + 8

Reorder the terms:
-18 + 12n = 7 + 8 + 7n

Combine like terms: 7 + 8 = 15
-18 + 12n = 15 + 7n

Solving
-18 + 12n = 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.
-18 + 12n + -7n = 15 + 7n + -7n

Combine like terms: 12n + -7n = 5n
-18 + 5n = 15 + 7n + -7n

Combine like terms: 7n + -7n = 0
-18 + 5n = 15 + 0
-18 + 5n = 15

Add '18' to each side of the equation.
-18 + 18 + 5n = 15 + 18

Combine like terms: -18 + 18 = 0
0 + 5n = 15 + 18
5n = 15 + 18

Combine like terms: 15 + 18 = 33
5n = 33

Divide each side by '5'.
n = 6.6

Simplifying
n = 6.6

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