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

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


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

Reorder the terms:
5(-2 + 3n) = (5n + 7) + 6
(-2 * 5 + 3n * 5) = (5n + 7) + 6
(-10 + 15n) = (5n + 7) + 6

Reorder the terms:
-10 + 15n = (7 + 5n) + 6

Remove parenthesis around (7 + 5n)
-10 + 15n = 7 + 5n + 6

Reorder the terms:
-10 + 15n = 7 + 6 + 5n

Combine like terms: 7 + 6 = 13
-10 + 15n = 13 + 5n

Solving
-10 + 15n = 13 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-10 + 15n + -5n = 13 + 5n + -5n

Combine like terms: 15n + -5n = 10n
-10 + 10n = 13 + 5n + -5n

Combine like terms: 5n + -5n = 0
-10 + 10n = 13 + 0
-10 + 10n = 13

Add '10' to each side of the equation.
-10 + 10 + 10n = 13 + 10

Combine like terms: -10 + 10 = 0
0 + 10n = 13 + 10
10n = 13 + 10

Combine like terms: 13 + 10 = 23
10n = 23

Divide each side by '10'.
n = 2.3

Simplifying
n = 2.3

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