33(1+4n)-2(5n-3)=25

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Solution for 33(1+4n)-2(5n-3)=25 equation: 


Simplifying
33(1 + 4n) + -2(5n + -3) = 25
(1 * 33 + 4n * 33) + -2(5n + -3) = 25
(33 + 132n) + -2(5n + -3) = 25

Reorder the terms:
33 + 132n + -2(-3 + 5n) = 25
33 + 132n + (-3 * -2 + 5n * -2) = 25
33 + 132n + (6 + -10n) = 25

Reorder the terms:
33 + 6 + 132n + -10n = 25

Combine like terms: 33 + 6 = 39
39 + 132n + -10n = 25

Combine like terms: 132n + -10n = 122n
39 + 122n = 25

Solving
39 + 122n = 25

Solving for variable 'n'.

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

Add '-39' to each side of the equation.
39 + -39 + 122n = 25 + -39

Combine like terms: 39 + -39 = 0
0 + 122n = 25 + -39
122n = 25 + -39

Combine like terms: 25 + -39 = -14
122n = -14

Divide each side by '122'.
n = -0.1147540984

Simplifying
n = -0.1147540984

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