5(3n+5)=6(5n+1)+6

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Solution for 5(3n+5)=6(5n+1)+6 equation: 


Simplifying
5(3n + 5) = 6(5n + 1) + 6

Reorder the terms:
5(5 + 3n) = 6(5n + 1) + 6
(5 * 5 + 3n * 5) = 6(5n + 1) + 6
(25 + 15n) = 6(5n + 1) + 6

Reorder the terms:
25 + 15n = 6(1 + 5n) + 6
25 + 15n = (1 * 6 + 5n * 6) + 6
25 + 15n = (6 + 30n) + 6

Reorder the terms:
25 + 15n = 6 + 6 + 30n

Combine like terms: 6 + 6 = 12
25 + 15n = 12 + 30n

Solving
25 + 15n = 12 + 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.
25 + 15n + -30n = 12 + 30n + -30n

Combine like terms: 15n + -30n = -15n
25 + -15n = 12 + 30n + -30n

Combine like terms: 30n + -30n = 0
25 + -15n = 12 + 0
25 + -15n = 12

Add '-25' to each side of the equation.
25 + -25 + -15n = 12 + -25

Combine like terms: 25 + -25 = 0
0 + -15n = 12 + -25
-15n = 12 + -25

Combine like terms: 12 + -25 = -13
-15n = -13

Divide each side by '-15'.
n = 0.8666666667

Simplifying
n = 0.8666666667

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