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

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


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

Reorder the terms:
5 + 3n = 3(8n + 4)

Reorder the terms:
5 + 3n = 3(4 + 8n)
5 + 3n = (4 * 3 + 8n * 3)
5 + 3n = (12 + 24n)

Solving
5 + 3n = 12 + 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.
5 + 3n + -24n = 12 + 24n + -24n

Combine like terms: 3n + -24n = -21n
5 + -21n = 12 + 24n + -24n

Combine like terms: 24n + -24n = 0
5 + -21n = 12 + 0
5 + -21n = 12

Add '-5' to each side of the equation.
5 + -5 + -21n = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -21n = 12 + -5
-21n = 12 + -5

Combine like terms: 12 + -5 = 7
-21n = 7

Divide each side by '-21'.
n = -0.3333333333

Simplifying
n = -0.3333333333

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