-8n+12(6n+1)=12(5n+4)

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Solution for -8n+12(6n+1)=12(5n+4) equation:


Simplifying
-8n + 12(6n + 1) = 12(5n + 4)

Reorder the terms:
-8n + 12(1 + 6n) = 12(5n + 4)
-8n + (1 * 12 + 6n * 12) = 12(5n + 4)
-8n + (12 + 72n) = 12(5n + 4)

Reorder the terms:
12 + -8n + 72n = 12(5n + 4)

Combine like terms: -8n + 72n = 64n
12 + 64n = 12(5n + 4)

Reorder the terms:
12 + 64n = 12(4 + 5n)
12 + 64n = (4 * 12 + 5n * 12)
12 + 64n = (48 + 60n)

Solving
12 + 64n = 48 + 60n

Solving for variable 'n'.

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

Add '-60n' to each side of the equation.
12 + 64n + -60n = 48 + 60n + -60n

Combine like terms: 64n + -60n = 4n
12 + 4n = 48 + 60n + -60n

Combine like terms: 60n + -60n = 0
12 + 4n = 48 + 0
12 + 4n = 48

Add '-12' to each side of the equation.
12 + -12 + 4n = 48 + -12

Combine like terms: 12 + -12 = 0
0 + 4n = 48 + -12
4n = 48 + -12

Combine like terms: 48 + -12 = 36
4n = 36

Divide each side by '4'.
n = 9

Simplifying
n = 9

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