3(2n+5)=6(4n+7)+8

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Solution for 3(2n+5)=6(4n+7)+8 equation: 


Simplifying
3(2n + 5) = 6(4n + 7) + 8

Reorder the terms:
3(5 + 2n) = 6(4n + 7) + 8
(5 * 3 + 2n * 3) = 6(4n + 7) + 8
(15 + 6n) = 6(4n + 7) + 8

Reorder the terms:
15 + 6n = 6(7 + 4n) + 8
15 + 6n = (7 * 6 + 4n * 6) + 8
15 + 6n = (42 + 24n) + 8

Reorder the terms:
15 + 6n = 42 + 8 + 24n

Combine like terms: 42 + 8 = 50
15 + 6n = 50 + 24n

Solving
15 + 6n = 50 + 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.
15 + 6n + -24n = 50 + 24n + -24n

Combine like terms: 6n + -24n = -18n
15 + -18n = 50 + 24n + -24n

Combine like terms: 24n + -24n = 0
15 + -18n = 50 + 0
15 + -18n = 50

Add '-15' to each side of the equation.
15 + -15 + -18n = 50 + -15

Combine like terms: 15 + -15 = 0
0 + -18n = 50 + -15
-18n = 50 + -15

Combine like terms: 50 + -15 = 35
-18n = 35

Divide each side by '-18'.
n = -1.944444444

Simplifying
n = -1.944444444

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