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

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


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

Reorder the terms:
3 + 12n + -2(-2 + 5n) = 25
3 + 12n + (-2 * -2 + 5n * -2) = 25
3 + 12n + (4 + -10n) = 25

Reorder the terms:
3 + 4 + 12n + -10n = 25

Combine like terms: 3 + 4 = 7
7 + 12n + -10n = 25

Combine like terms: 12n + -10n = 2n
7 + 2n = 25

Solving
7 + 2n = 25

Solving for variable 'n'.

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

Add '-7' to each side of the equation.
7 + -7 + 2n = 25 + -7

Combine like terms: 7 + -7 = 0
0 + 2n = 25 + -7
2n = 25 + -7

Combine like terms: 25 + -7 = 18
2n = 18

Divide each side by '2'.
n = 9

Simplifying
n = 9

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