3(1+4n)=5n-25

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Solution for 3(1+4n)=5n-25 equation:


Simplifying
3(1 + 4n) = 5n + -25
(1 * 3 + 4n * 3) = 5n + -25
(3 + 12n) = 5n + -25

Reorder the terms:
3 + 12n = -25 + 5n

Solving
3 + 12n = -25 + 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 = -25 + 5n + -5n

Combine like terms: 12n + -5n = 7n
3 + 7n = -25 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + 7n = -25 + 0
3 + 7n = -25

Add '-3' to each side of the equation.
3 + -3 + 7n = -25 + -3

Combine like terms: 3 + -3 = 0
0 + 7n = -25 + -3
7n = -25 + -3

Combine like terms: -25 + -3 = -28
7n = -28

Divide each side by '7'.
n = -4

Simplifying
n = -4

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