5(3n+4)=6(7n+9)+8

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Solution for 5(3n+4)=6(7n+9)+8 equation: 


Simplifying
5(3n + 4) = 6(7n + 9) + 8

Reorder the terms:
5(4 + 3n) = 6(7n + 9) + 8
(4 * 5 + 3n * 5) = 6(7n + 9) + 8
(20 + 15n) = 6(7n + 9) + 8

Reorder the terms:
20 + 15n = 6(9 + 7n) + 8
20 + 15n = (9 * 6 + 7n * 6) + 8
20 + 15n = (54 + 42n) + 8

Reorder the terms:
20 + 15n = 54 + 8 + 42n

Combine like terms: 54 + 8 = 62
20 + 15n = 62 + 42n

Solving
20 + 15n = 62 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
20 + 15n + -42n = 62 + 42n + -42n

Combine like terms: 15n + -42n = -27n
20 + -27n = 62 + 42n + -42n

Combine like terms: 42n + -42n = 0
20 + -27n = 62 + 0
20 + -27n = 62

Add '-20' to each side of the equation.
20 + -20 + -27n = 62 + -20

Combine like terms: 20 + -20 = 0
0 + -27n = 62 + -20
-27n = 62 + -20

Combine like terms: 62 + -20 = 42
-27n = 42

Divide each side by '-27'.
n = -1.555555556

Simplifying
n = -1.555555556

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