36+5n=5n+3(4n-4)

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Solution for 36+5n=5n+3(4n-4) equation:


Simplifying
36 + 5n = 5n + 3(4n + -4)

Reorder the terms:
36 + 5n = 5n + 3(-4 + 4n)
36 + 5n = 5n + (-4 * 3 + 4n * 3)
36 + 5n = 5n + (-12 + 12n)

Reorder the terms:
36 + 5n = -12 + 5n + 12n

Combine like terms: 5n + 12n = 17n
36 + 5n = -12 + 17n

Solving
36 + 5n = -12 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
36 + 5n + -17n = -12 + 17n + -17n

Combine like terms: 5n + -17n = -12n
36 + -12n = -12 + 17n + -17n

Combine like terms: 17n + -17n = 0
36 + -12n = -12 + 0
36 + -12n = -12

Add '-36' to each side of the equation.
36 + -36 + -12n = -12 + -36

Combine like terms: 36 + -36 = 0
0 + -12n = -12 + -36
-12n = -12 + -36

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

Divide each side by '-12'.
n = 4

Simplifying
n = 4

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