3(1+4n)-2(5n-5)=25

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Solution for 3(1+4n)-2(5n-5)=25 equation: 


Simplifying
3(1 + 4n) + -2(5n + -5) = 25
(1 * 3 + 4n * 3) + -2(5n + -5) = 25
(3 + 12n) + -2(5n + -5) = 25

Reorder the terms:
3 + 12n + -2(-5 + 5n) = 25
3 + 12n + (-5 * -2 + 5n * -2) = 25
3 + 12n + (10 + -10n) = 25

Reorder the terms:
3 + 10 + 12n + -10n = 25

Combine like terms: 3 + 10 = 13
13 + 12n + -10n = 25

Combine like terms: 12n + -10n = 2n
13 + 2n = 25

Solving
13 + 2n = 25

Solving for variable 'n'.

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

Add '-13' to each side of the equation.
13 + -13 + 2n = 25 + -13

Combine like terms: 13 + -13 = 0
0 + 2n = 25 + -13
2n = 25 + -13

Combine like terms: 25 + -13 = 12
2n = 12

Divide each side by '2'.
n = 6

Simplifying
n = 6

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