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

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


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

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

Reorder the terms:
20 + 15n = 6(7 + 8n) + 5
20 + 15n = (7 * 6 + 8n * 6) + 5
20 + 15n = (42 + 48n) + 5

Reorder the terms:
20 + 15n = 42 + 5 + 48n

Combine like terms: 42 + 5 = 47
20 + 15n = 47 + 48n

Solving
20 + 15n = 47 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
20 + 15n + -48n = 47 + 48n + -48n

Combine like terms: 15n + -48n = -33n
20 + -33n = 47 + 48n + -48n

Combine like terms: 48n + -48n = 0
20 + -33n = 47 + 0
20 + -33n = 47

Add '-20' to each side of the equation.
20 + -20 + -33n = 47 + -20

Combine like terms: 20 + -20 = 0
0 + -33n = 47 + -20
-33n = 47 + -20

Combine like terms: 47 + -20 = 27
-33n = 27

Divide each side by '-33'.
n = -0.8181818182

Simplifying
n = -0.8181818182

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