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

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


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

Reorder the terms:
-25 + 5n = -3(4 + -3n) + -1
-25 + 5n = (4 * -3 + -3n * -3) + -1
-25 + 5n = (-12 + 9n) + -1

Reorder the terms:
-25 + 5n = -12 + -1 + 9n

Combine like terms: -12 + -1 = -13
-25 + 5n = -13 + 9n

Solving
-25 + 5n = -13 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-25 + 5n + -9n = -13 + 9n + -9n

Combine like terms: 5n + -9n = -4n
-25 + -4n = -13 + 9n + -9n

Combine like terms: 9n + -9n = 0
-25 + -4n = -13 + 0
-25 + -4n = -13

Add '25' to each side of the equation.
-25 + 25 + -4n = -13 + 25

Combine like terms: -25 + 25 = 0
0 + -4n = -13 + 25
-4n = -13 + 25

Combine like terms: -13 + 25 = 12
-4n = 12

Divide each side by '-4'.
n = -3

Simplifying
n = -3

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