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

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


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

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

Reorder the terms:
10 + 15n = 6(5 + 6n) + 6
10 + 15n = (5 * 6 + 6n * 6) + 6
10 + 15n = (30 + 36n) + 6

Reorder the terms:
10 + 15n = 30 + 6 + 36n

Combine like terms: 30 + 6 = 36
10 + 15n = 36 + 36n

Solving
10 + 15n = 36 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
10 + 15n + -36n = 36 + 36n + -36n

Combine like terms: 15n + -36n = -21n
10 + -21n = 36 + 36n + -36n

Combine like terms: 36n + -36n = 0
10 + -21n = 36 + 0
10 + -21n = 36

Add '-10' to each side of the equation.
10 + -10 + -21n = 36 + -10

Combine like terms: 10 + -10 = 0
0 + -21n = 36 + -10
-21n = 36 + -10

Combine like terms: 36 + -10 = 26
-21n = 26

Divide each side by '-21'.
n = -1.238095238

Simplifying
n = -1.238095238

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