6(2n+3)=6(4n+5)+5

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Solution for 6(2n+3)=6(4n+5)+5 equation: 


Simplifying
6(2n + 3) = 6(4n + 5) + 5

Reorder the terms:
6(3 + 2n) = 6(4n + 5) + 5
(3 * 6 + 2n * 6) = 6(4n + 5) + 5
(18 + 12n) = 6(4n + 5) + 5

Reorder the terms:
18 + 12n = 6(5 + 4n) + 5
18 + 12n = (5 * 6 + 4n * 6) + 5
18 + 12n = (30 + 24n) + 5

Reorder the terms:
18 + 12n = 30 + 5 + 24n

Combine like terms: 30 + 5 = 35
18 + 12n = 35 + 24n

Solving
18 + 12n = 35 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
18 + 12n + -24n = 35 + 24n + -24n

Combine like terms: 12n + -24n = -12n
18 + -12n = 35 + 24n + -24n

Combine like terms: 24n + -24n = 0
18 + -12n = 35 + 0
18 + -12n = 35

Add '-18' to each side of the equation.
18 + -18 + -12n = 35 + -18

Combine like terms: 18 + -18 = 0
0 + -12n = 35 + -18
-12n = 35 + -18

Combine like terms: 35 + -18 = 17
-12n = 17

Divide each side by '-12'.
n = -1.416666667

Simplifying
n = -1.416666667

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