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

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


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

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

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

Reorder the terms:
15 + 15n = 36 + 5 + 30n

Combine like terms: 36 + 5 = 41
15 + 15n = 41 + 30n

Solving
15 + 15n = 41 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
15 + 15n + -30n = 41 + 30n + -30n

Combine like terms: 15n + -30n = -15n
15 + -15n = 41 + 30n + -30n

Combine like terms: 30n + -30n = 0
15 + -15n = 41 + 0
15 + -15n = 41

Add '-15' to each side of the equation.
15 + -15 + -15n = 41 + -15

Combine like terms: 15 + -15 = 0
0 + -15n = 41 + -15
-15n = 41 + -15

Combine like terms: 41 + -15 = 26
-15n = 26

Divide each side by '-15'.
n = -1.733333333

Simplifying
n = -1.733333333

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