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

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


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

Reorder the terms:
3 + 12n + -3(-3 + 5n) = 25
3 + 12n + (-3 * -3 + 5n * -3) = 25
3 + 12n + (9 + -15n) = 25

Reorder the terms:
3 + 9 + 12n + -15n = 25

Combine like terms: 3 + 9 = 12
12 + 12n + -15n = 25

Combine like terms: 12n + -15n = -3n
12 + -3n = 25

Solving
12 + -3n = 25

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + -3n = 25 + -12

Combine like terms: 12 + -12 = 0
0 + -3n = 25 + -12
-3n = 25 + -12

Combine like terms: 25 + -12 = 13
-3n = 13

Divide each side by '-3'.
n = -4.333333333

Simplifying
n = -4.333333333

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