3(4n+1)=5(4-n)

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Solution for 3(4n+1)=5(4-n) equation:


Simplifying
3(4n + 1) = 5(4 + -1n)

Reorder the terms:
3(1 + 4n) = 5(4 + -1n)
(1 * 3 + 4n * 3) = 5(4 + -1n)
(3 + 12n) = 5(4 + -1n)
3 + 12n = (4 * 5 + -1n * 5)
3 + 12n = (20 + -5n)

Solving
3 + 12n = 20 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
3 + 12n + 5n = 20 + -5n + 5n

Combine like terms: 12n + 5n = 17n
3 + 17n = 20 + -5n + 5n

Combine like terms: -5n + 5n = 0
3 + 17n = 20 + 0
3 + 17n = 20

Add '-3' to each side of the equation.
3 + -3 + 17n = 20 + -3

Combine like terms: 3 + -3 = 0
0 + 17n = 20 + -3
17n = 20 + -3

Combine like terms: 20 + -3 = 17
17n = 17

Divide each side by '17'.
n = 1

Simplifying
n = 1

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